. If z is directly proportional to the product of x and y and ifz is 10 when x is 4 and y is 5, then x, y, and z are related bythe equation z 5 . 5-6 - In each equation, is y directly proportional, inverselyproportional, or not proportional to x?5. (а) у %3 Зх(b) y = 3x + 136. (a) y =3(b) y =x + 1

Given : z is directly proportional to the product of x and y. To find : The…

Answered: 5-6 - In each equation, is y directly…

5-6 - In each equation, is y directly proportional, inversely proportional, or not proportional to x? 5. (а) у %3 Зх (b) y = 3x + 1 3 6. (a) y = 3 (b) y = x + 1

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.10: Modeling Variation

Problem 5E

See similar textbooks

Related questions

Q: 3. An initial population of 850 deer grows by 12% per year. 50 deer are harvested at the end of each…

Q: A construction team gives an estimate of three months to repave a large stretch of a very busy road…

A: Given Three months = 15 members Also the relationship between construction time and crew members…

Q: nitially 90 grams of radioactive substance was present. After 6 hours the mass had decreased by 5%.…

A: Given that: Initial Mass, N0=90 gmAfter 6 hrs, Mass of substance decreased by 5%Rate of decay is…

Q: The total cost in pesos of producing x pools of low voltage cable is given by C = 0.002 x3 - 0.5 x2…

A: Given : Total cost in pesos of producing x pools of low voltage cable is given by C = 0.002x3 - 0.5…

Q: 21, (-2ナVータ)+(-1-V-3) 7ーVーT)- V-SI 23.

A: Solution: The objective is to find the values of the given equations

Q: 5) 10 mice in a population of 80 are infected with a disease to test a theory of epidemic spread…

Q: 2. A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above…

Q: Assume that the rate of evaporation for water is proportional to the amount of water in a bowl. If…

Q: The average cost C of producing a machine is partly constant and partly varies inversely as the…

A: Let the average cost C of producing a machine be denoted by: C=a+bn where C=Cost, a= Fixed cost, b=…

Q: A tank originally contains 380 liters of brine holding 450 N of dissolved salt. Eight liters/min of…

A: It is given that a tank contain 380 liters of brine and holding 450 N of dissolved salt, the rate of…

Q: 12. If a substance decomposes at a rate proportional to the amount of the substance present, and the…

Q: A certain bacteria culture is observed to double its amount after 150 minutes it was initially…

A: It is given that; let current amount of population is =N The rate of growth of culture is ∝ (N)2…

Q: 2. The relationship between the air temperature T (in degrees Fahrenheit) and the altitude h (in…

A: The temperature between the air temperature (in oF) and the altitude (h)(in feet above sea level)…

Q: If a population of fruit flies triples every 6 days. What is k, the proportionality constant?

A: The population growth is defined by the exponential equation, , where k is the proportionality…

Q: 4. An average adult person has 100 billion brain cells. During very strenuous mental activity e.g.…

Q: In an laboratory, a culture of N strands of bacteria is analyzed. It is found out that the rate of…

A: topic - exponential function

Q: It is known that the population of a certain country at time t is proportional to the people living…

Q: IF THE BEST FITTING LINE IS SLANTING UPWARD TO THE RIGHT, WHAT DOES IT IMPLY? CHOICES: IT MEANS…

A: In this case, the best fitting line is slanting upward to the right.

Q: 75, If y is directly proportional to x and y = 16 when x = 4 10.

A: Given that y is directly proportional to x y=16 when x=4 find y when x=10

Q: A certain type of bacteria is known to grow at the rate proportional to square root of the amount…

A: To find- how much bacteria is there after 7 hours.

Q: For the years 1970-2006, the percent of females in the workforce is given by y=10.273+8.160lnx,…

Q: If and y are variable quantities such that y=k/x for some consranr k, then we say that y is…

A: We are given that x and y are inversely proportional. Therefore, for some constant k we have y=kx…

Q: The initial mass of a certain species of fish is 3 million tons. The mass of fish, if left alone,…

A: Given problem Given that

Q: The molarity of a solute in solution is defined to be the number of moles of solute per liter of…

A: The provided information is:

Q: The total U.S. personal income I (in billions of dollars) from 1960 and projected to 2024 can be…

A: The main objective of - (a) Is to find the t-values correspond to the years 1995, 2012, and 2024.…

Q: 25- In the equation y-B,+B,x+u, what is the estimated value of B,? ay-B₁ x b.y + B₁x 8-80-7 Σε1x)=…

A: Given y=βo+ β1x+u

Q: The molarity of a solute in solution is defined to be the number of moles of solute per liter of…

A: The standard deviation of X and Y are 0.05 and 0.10, respectively.

Q: The legs of an elephant are much thicker in proportion to its body than the legs of a mouse. This is…

Q: Ben is walking with his backpack. If Ben is 65 kg, walking at a rate of 2 m/s and his backpack is…

A: Given Mass of Ben m1= 65 kgvelocity v=2m/s.Mass of backpack m2=0.5 kg

Q: 6. Create a linear function equation that has a rate of change of -3 and a solution at (5,2).

Q: 2. In 2015 the foreign debt of the Philippines is PHP2,070.2* billion. Last year, 2020 it was…

A: To predict the foreign debt of the Philippines in 2025

Q: 7) The average value of collectible gold coins was $3,120 in 2000 and appreciated to $9,340 in 2020.…

Q: According to a simple physiological model, an athletic adult male needs 20 calories per day per…

A: given that: Let W(t) be the person’s weight in pounds at time t. and a person has a constant…

Q: Identify the constant of variation and equation for the direct variation. X -4 -13 12 39 -15 48 Ok =…

A: The table for x and y is given by

Q: 27. The strength of a beam is directly proportional to its width w and the square of its depth d,…

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by…

Q: (1 + x)5 (x + 2)10’ If y5 = ,and (x = 1, y = 2) y will be equal to?

A: 5y4 y'= 121(1+x)5(x+2)10 ddx(1+x)5(x+2)10 =121(1+x)5(x+2)10 (x+2)10…

Q: What is the constant of proportionality?

A: Here, there is a proportional relationship between the two variables ,i.e., the variables increases…

Q: 3) An empty can of room freshener that has a volume of 350 mL, contains gas at a pressure of 360 kPa…

A: I am attaching image so that you understand each and every step.

Q: It is a fundamental law of Physics that the force the Earth exerts on an object varies inversely as…

Q: What does it mean if two quantities vary directly?

A: What does it mean if two quantities vary directly?

Q: A storage battery discharge at a rate which is proportional to the charge. If the charge is reduced…

Q: 3.Radium decomposes approximately at a rate proportional to the amount present. If 100 g now will be…

Q: The total cost in pesos of producing x pools of low voltage cable is given by C = 0.002 x3 - 0.5 x²…

Q: Using data and projections from 1980 through 2050, the percent of Hispanics in a certain country's…

Q: 7) Suppose false news spreads in a city of 150,000 in a day. Within a week, 15000 residents heard…

Q: my question is: If one earthquake has a magnitude of 5 on the Richter scale and a second…

A: Topic:- algebra

Concept explainers

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

Question

. If z is directly proportional to the product of x and y and if
z is 10 when x is 4 and y is 5, then x, y, and z are related by
the equation z 5 .

5-6 - In each equation, is y directly proportional, inversely
proportional, or not proportional to x?
5. (а) у %3 Зх
(b) y = 3x + 1
3
6. (a) y =
3
(b) y =
x + 1

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Functions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

Which linear equation represents a proportional relationship between the values of x and y?
The price of gasoline purchased varies directly as the number of gallons of gas purchasedSuppose 24 gallons are purchased for $72.70 Step 1 of 2: Find the constant of proportionality rounded to two decimal places if necessary, and use it to write an equation that models the relationshipLet represent the number of gallons purchased, and let y represent the total price.
33. Identify the relationship that exists between the 2 variables. As the weather gets colder, air conditioning cost decreases
IF THE BEST FITTING LINE IS SLANTING UPWARD TO THE RIGHT, WHAT DOES IT IMPLY? CHOICES: IT MEANS THAT THE TWO VARIABLES ARE INVERSELY PROPORTIONAL TO EACH OTHER IT MEANS THAT AS THE DEPENDENT VARIABLE DECREASES, THE INDEPENDENT VARIABLE INCREASES IT MEANS THAT THE TWO VARIABLES ARE DIRECTLY PROPORTIONAL TO EACH OTHER IT MEANS THAT AS THE DEPENDENT VARIABLE INCREASES, THE INDEPENDENT VARIABLE DECREASES
A construction team gives an estimate of three months to repave a large stretch of a very busy road with their core crew of 15 people. The government responds that it is too much of an inconvenience to have this busy road obstructed for three months, so the job must be completed in one month. If the relationship between construction time and crew members is inversely proportional, how many crew members does the construction team need if they are to complete the job in one month? Express your answer as an integer.
What does it mean if two quantities vary directly?
Crude Oil Using data for the years from 2010 andprojected to 2030, the U.S. Crude Oil production isgiven by y = 0.0154x + 1.85 billions of barrels,with x equal to the number of years after 2010. Inwhat year does the model predict the crude oil production will be 2.158 billion barrels?
1. Suppose you drive your car on a perfectly flat road at a constant speed with no wind. In thiscase, the amount of fuel, y, (in litre) needed is directly proportional to the distance travelled,x (in kilometre).(a) If the distance travelled increase, what can we say about the amount of fuel needed?(b) If the relationship is given by y = 0.05x and x increase by 50 km, how much does yincrease? (c) Now, suppose it takes 12 litre of fuel to travel 282 km. Find the constant of proportionality.(d) In words, describe the meaning of this constant of proportionality.
The molarity of a solute in solution is defined to be the number of moles of solute per liter of solution (1 mole = 6.02 × 1023 molecules). If X is the molarity of a solution of magnesium chloride (MgCl2), and Y is the molarity of a solution of ferric chloride (FeCl3), the molarity of chloride ion (Cl−) in a solution made of equal parts of the solutions of MgCl2 and FeCl3 is given by M = X + 1.5Y. Assume that X has mean 0.125 and standard deviation 0.05, and that Y has mean 0.350 and standard deviation 0.10 .Assuming X and Y to be independent, find σM.
The molarity of a solute in solution is defined to be the number of moles of solute per liter of solution (1 mole = 6.02 × 1023 molecules). If X is the molarity of a solution of magnesium chloride (MgCl2), and Y is the molarity of a solution of ferric chloride (FeCl3), the molarity of chloride ion (Cl−) in a solution made of equal parts of the solutions of MgCl2 and FeCl3 is given by M = X + 1.5Y. Assume that X has mean 0.125 and standard deviation 0.05, and that Y has mean 0.350 and standard deviation 0.10. Find μM.
A population of 1000 students are in a dormitory. If initially, a virus infected 25 of them. If the spread is proportional to both the infected and healthy students, determine the DE for this model.
The total cost of producing 1 unit of a product is given by C(x,y)=30+10x2+20y-xy dollars Where x is the hourly labor rate and y is the cost per pound of raw materials. the current hourly rate is $15 and the raw materials cost $6 per pound. how will an increase of a)$1 per pound for the raw materials affect the total cost b)$1 in the hourly labor rate affect the total cost?