The population of a country doubles in 50 years. How many years will it be five times as much? Assume that the rate of increase is proportional to the number of inhabitants. Answer: years (whole number)

Q: An IV medication of 215 mL is to infuse at the rate of 55 mL/hr. What is the total infusion time?…

A: Given IV medication of 215 mL is to infuse at the rate of 55 mL/hr. We have to find the total…

Q: Define the term inversely proportional?

A: When the product of two elements is constant ,then they are called inversely proportional to each…

Q: d) Estimate the interquartile range of cholesterol levels.   IQR=_________​mg/dL   ​e) Above what…

A: Given that,  μ=194σ=28 d) The value of first quartile is, The value of third quartile is, The…

Q: An object thrown vertically upward from the surface of a celestial body at a velocity of 49 m/s…

A:

Q: At what rate did Kiran run? Use the table to help you determine the rate.

A: Out of all given data- Distance run by Kiran= 6300 meters Time taken by Kiran= 1/2 hour = 30 minutes…

Q: The volume of blood, B, in a person’s body varies directly as body weight, W. A person who weighs…

A: Given that B varies directly as W.  So, B=KW   Given that, For W=160, B=5  So, 5=K(160) K=5/160=…

Q: You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by…

A: Given: You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system…

Q: Water erupting from geysers can reach a temperature of 244°F. The average temperature in Yellowstone…

A: Water erupting from geysers temperature = 244F average temperature =35F

Q: The shadow cast by an object on a sunny day is directly proportional to the height of the object. If…

A: Given, shadow cast by an object on a sunny day is directly proportional to the height of the object.…

Q: n object thrown vertically upward from the surface of a celestial body at a velocity of 36 m/s…

A:

Q: In a given country, the average price of a gallon of unleaded gasoline in 1998 was $1.51. In 2011,…

A: Solution: The average rate of change is equal  to the slope between the two points/coordinates.

Q: If you had a pot of water and poked a hole in the bottom, would the water run out at a constant rate…

A: No, it will not run out at a constant rate.    Rate will decrease with the decrement of water in…

Q: The amount of water used to take a shower is directly proportional to the amount of time that the…

A: This question is based on the concept of direct proportion Amount of water(w) is directly…

Q: Find a model for the Body Mass Index (BMI) of a person, given that BMI varies directly as a person's…

A: By definition, a function is a special case of a relation between the members of two sets. It is a…

Q: Nathan's graduation picnic will cost $15 if it has 3 attendees. If there are 4 attendees, how much…

A: The cost of Nathan's graduation picnic is C = $15 if it has 3 attendees. To evaluate : The cost of…

Q: A 25-year old woman burns 200-60t cal/hr while walking on her treadmill. Her caloric intake from…

A: We find the net decrease in cal after walking for 3 hours.

Q: 0. The volume of gas is inversely proportional to the pressure. If the volume is 3 90m under 4…

A:

Q: The circumference of a circle, C is directly proportional to the diameter of the circle, d. If when…

A: Circumference of a circle is given by C=π×d Where d is diameter of the circle

Q: The half-life of Sodium-24 is 14.96 hours. If a sample contains 490 mg, how many mg will remain…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: a snow plow has a maximum speed of 60pmhon a dry highway. its maximum speed decreases by 1.3mph for…

A: Let x inches will stop the snowplow. 1 inch decreases 1.3 mph. x inch decreases 1.3x mph. The…

Q: The value of y is directly proportional to the value of x. Given y = 11 when x = 77.

A: y and x are directly proportional.

Q: Which one displays a proportional relationship?

A:

Q: The velocity V of a free-falling object is directly proportional to the time T (in seconds) that the…

A: Given:

Q: The number of minutes needed to complete a job,m, varies inversely with the number of works, w. 8…

A: Form a equation and put the give values to find the constant and solve for unknown.

Q: Fiona adds lb of fertilizer for every 12 Ib of peat moss. What is the constant of proportionality…

A: Given for every 12 lb of peat moss , Fiona adds ¾ lb of fertilizer Weight of peat moss 0< Weight…

Q: 9.) To water a lawn adequately, it takes approximately 554 gallons of water for every 500 square…

A: Calculation are as follows

Q: The population of a city doubles in 50 years. How many years will it be four times as much? Assume…

A: In this question, we want to know that in how many years the population will be four times using the…

Q: Aluminum, Inc. produces cans at a rate of 0.04 per hundredth of a second. How many cans can be…

A: Unitary method: It is process in which the value of a single unit is determined from the value of…

Q: 67. The depth of a diver is directly proportional to the time since the diver entered the water. If…

A: Here, given that the depth(d) of a driver is directly proportional to the time(T) since the driver…

Q: If y is directly proportional to x, and y = 56 ​when x = 6, what is the value of x when y =   84?​

A:

Q: The number of hours required to build a fence is inversely proportional to the number of people…

A:

Q: b

A:

Q: The number of hours required to build a fence is inversely proportional to the number of people…

A: The statement is given that number of hours required to build the fence is inversely proportional to…

Q: A recipe calls for 15 oz of flower for every 8 oz of milk. Is the relationship between oz of…

A: Given that a recipe calls for 15 oz. of flour for every 8 oz. of milk. From given statement it can…

Q: The number of hours required to build a fence is inversely proportional to the number of people…

A: Let h is no. of hours and  p is no. of people  Then h = kp for some no. k

Q: The area, A square feet, of the wall Ivan is painting is directly proportional to the time he spends…

A: Given, The area A in square feet of the wall Ivan is painting is directly proportional to the time…

Q: Wind resistance is jointly proportional to velocity and surface area of the object. If an object is…

A: Given,Wind resistance is jointly proportional to velocity and surface area of the objectLet w, v,…

Q: Cameron prepared 16 kilograms of dough after working 4 hours. How many hours did Cameron wörk if he…

A: We are given to assume linear relationship between time and amount of dough prepared

Q: A 25-year old woman burns 150 - 60t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: The number of students at a school increases at a rate proportional to its current size. In 2005,…

A: An equation which consists of the independent variable, dependent variable and their derivatives is…

Q: Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm?/s) is the area of the…

A:

Q: Write a formula for the indicated rate of change. dc S(c, k) = c(33k); dk dc dk II

A: Given that: Sc,k=c33kDifferentiting  w.r.t.cdSdc=ddcc33k=33k·1dSdc=33k

Q: Fiona adds Ib of fertilizer for every 12 Ib of peat moss. What is the constant of proportionality…

A: The constant of proportionality is the ratio of two directly proportional quantities. Two quantities…

Q: The number of hours required to build a fence is inversely proportional to the number of people…

A:

Q: The electric current in a microprocessor circuit is 0.380 µA. How many coulombs pass a given point…

A: We are entitled to solve only one question at a time. Please post another question separately.…

Q: The water level in a tank decreases with time according to the following equation: h(t) = 1.8 t² –…

A: Consider the provided question, Hello. Since your question has multiple sub-parts, we will solve…

Q: Brandon uses 10 gallons of gas to drive 273 miles in his car. Find the rate of change. Answer: miles…

A: GivenTo drive Car. 273 miles, 10 gallons of gas is needed.

Q: The population of a city increases at a rate that is proportional to the number of residents…

A: Given query is to find the initial population of the city.

Q: a cup of coffee has 95mg of caffeine. the amount of caffine in your body diminishes by 7% each hour.…

A:

Q: Assume the world catch of fish in 1950 was 13 million tons and in 1995 it was 98 million tons. Find…

A: Let us assume  Fish caught in 1950 Ma=13 million tons Fish caught in 1955 Mb=98 million tons