Answered: Write an equation that expresses the…

Write an equation that expresses the following relationship. d varies directly with w and inversely with p In your equation, use k as the constant of proportionality.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 23CC

See similar textbooks

Related questions

Q: H varies directly as L. If H =20 when L =40, determine H when L=30. a) Write the variation…

A: Given that H varies directly as Land if H=20 where L=40∴ H∝ L⇒ H= K.Lwhere K = proportionality…

Q: Write an equation for the following statements: a) The mass (m) of an object varies inversely as the…

Q: Write an equation for the proportional relationship shown in the table.

A: Our Aim is to write an equation for the proportional relationship shown in the table.

Q: Write an equation that expresses the statement. P varies inversely as T.

A: Given : P varies inversely as T.

Q: Write the equation expressing the relationship "y varies directly as x." Use k as the constant of…

Q: x varies directly as z and inversely as the difference between y and w.Write an equation that…

Q: Circle the equations that represent a proportional relationship. A. y= 3x – 2 B. y= 2.5x C. y= -3x 1…

Q: The maximum weight M that can be supported by a beam is jointly proportional to its width w in…

Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

Q: The volume, V, of gas varies inversely with the pressure, P, on it. If the volume is 320cm3 under…

A: We will solve for pressure.

Q: x varies directly as z and inversely as the sum of y and w.Write an equation that expresses the…

Q: Complete the following sentence(s).The wing-flapping rate of a bird varies inversely to its wing…

A: Since length of wings and flapping rate are inversely proportional.

Q: Write an equation that expresses the following relationship. p varies directly with the square of…

Q: Write an equation that expresses the following relationship. u varies directly with the cube of p…

A: We will use the definition of direct proportional and indirect proportional to answer…

Q: Write an equation that expresses the following relationship.w varies directly with uand inversely…

A: Write an equation that expresses the following relationship. w varies directly with u and inversely…

Q: express the statement as an equation. (use k as the constant of proportionality.) A varies…

A: We have to find out

Q: x varies directly as the cube of z and inversely as y.Write an equation that expresses the…

A: Concept: Calculus helps in understanding the changes between values that are related by a function.…

Q: Write an equation that expresses the following relationship. U varies jointly with the square of p…

A: It is given that, U varies jointly with the square of p and cube of d.

Q: Does the following equation represent a proportional relationship? y = -5x +3 (Remember:…

A: y = -5x+3for being proportion equationmust be of form y=kx whereK is constant of proportionality.

Q: Write an equation that expresses the following relationship. W varies directly with the square of U…

A: As given : W varies directly with the square of u i.e : W∝u2 --------(i) and W inversely with d…

Q: The speed (or rate) Josiah travels to work is inversely proportional to time ittakes to get there.…

A: It is given that, the speed (rate) Josiah travels to work is inversely proportional to time ittakes…

Q: Write an equation to describe the variation. Use k for the constant of variation. x varies…

A: Given:x varies directly as y and z and inversely as r.

Q: L) The following table describes the relationship between the number of scoops in an ice crean cone…

Q: Write an equation for the following: y varies directly with x squared. Find K when x=2 and y=3.

A: To find the equation and then find the value of constant used.

Q: Write an equation to describe the variation. Use k for the constant of proportionality. t varies…

Q: Write an equation that expresses the following relationship. p varies jointly with d and 2ı and…

A: We are given a relationship between, p, d, u and v. We need to find the equation for the given…

Q: Express the statement as an equation. Use the given information to find the constant of…

A: Express the statement as an equation. Use the given information to find the constant of…

Q: Write an equation that expresses the following relationship. p varies directly with d and inversely…

Q: Write an equation that expresses the following relationshlp. p varies directly with d and inversely…

Q: Write an equation that expresses the statement. A is jointly proportional to the square roots of x…

A: To write an equation that expresses the statement. A is jointly proportional to square roots of x…

Q: Write an equation that expresses the following relationship. w varies jointly with u and d and…

Q: The amount of metal that can be extracted from the ore is proportional to the amount of the ore…

Q: Translate the statement into an equation. (Use k to represent the constant of variation.) The…

A: We have to form an equation from the given statement.

Q: Express the statement as an equation. (Use k as the constant of proportionality.) A varies inversely…

Q: varies inversely with Let x = 6 then y = 8 Which equation represents this relationship? 68 y = y =…

Q: Find a mathematical model that represents the statement. (Determine the constant of…

A: Since y varies inversely as x ; There exist a constant c such that y = cx

Q: Write an equation that expresses the following relationship. d varies directly with w and…

A: Given that d varies directly with w and inversely with square of p. k is given as proportionality…

Q: Write an equation that expresses the following relationship. p varies directly with d and inversely…

Q: Find the variation constant and an equation of variation for the given situation. y varies…

Q: Write an equation that expresses each relationship. (a) y is directly proportional to x. (b) y is…

A: The following relationships: a) y is directly proportional to x. b) y is inversely proportional…

Q: Write an equation to describe the variation. Use k for the constant of proportionality. r varies…

A: To write the equation to describe the variation. Use k for the constant of proportionality. r varies…

Q: Write an equation that expresses the following relationship. u varies jointly with the square of p…

Q: Write an equation that expresses the following relationship. p varies directly with the square of…

A: Directly proportional is the relationship between the two variables such that the ratio of the two…

Q: The frequency of a guitar string varies inversely with its length. A 26 in.-long string has a…

Q: Write an equation for the following: y varies directly with x. Find K when x=4 and y=5.

Q: During one hour of running mg, Jeff can run 5 miles. The number of miles Jeff runs and the number of…

Q: Find a mathematical model that represents the statement. (Determine the constant of…

Q: The amount of gas that a helicopter uses is directly proportional to the number of hours spent…

A: Given data is: The helicopter flies for 2 hours and uses 12 gallons.

Q: Write an equation that expresses each relationship.(a) y is directly proportional to x.(b) y is…

A: (a) y is directly proportional to x⇒ y α x…

Q: Write an equation that expresses the following relationship: x varies directly as m and inversely…

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Write an equation that expresses the following relationship.
d varies directly with w and inversely with p
In your equation, use k as the constant of proportionality.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given that:

VIEW

Step 2: Definition Used:

VIEW

Step 3: Representation:

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

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

Similar questions

You should be able to complete these vocabulary and concept statements before you proceed to the practice excercises. Fill in the blanks. In the equation y=kx2z,y varies directly with ______ and inversely with _____.
A car’s value varies inversely with its age. Elena bought a two-year-old car for $20,000. a. Write the equation of variation. b. What will be the value of Elena’s car when it is 5 years old?
The time required to empty a pool varies inversely as the rate of pumping. It took Lucy 2.5 hours to empty her pool using a pump that was rated at 400 gpm (gallons per minute). a. Write the equation of variation. b. How long will it take her to empty the pool using a pump rated at 500 gpm?
Road Trip The number of hours it takes Jack to drive from Boston to Bangor is inversely proportional to his average driving speed. When he drives at an average speed of 40 miles per hour, it takes him 6 hours for the trip. a. Write the equation that relates the number of hours, h, with the speed, s. b. How long would the trip take if his average speed was 75 miles per hour?
Xander’s new business found that the daily demand for its product was inversely proportional to the price, p. When the price is $5, the demand is 700 units. (a) Write the equation of variation. (b) What is the demand if the price is raised to $7?
Find the unknown value. y varies inversely as the square of x and when x=3,y=2. Find y if x=1.
Find the constant of proportionality. I is inversely proportional to R. If R=20, then I=50.
The resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?
Find the constant of proportionality. R is inversely proportional to the square of I. If I=25, then R=100.
Electrical resistance The resistance of a wire varies directly as the length of the wire and inversely as the square of its diameter. A 1000-foot length of wire, 0.05 inch in diameter, has a resistance of 200 ohms. What would be the resistance of a 1500-foot length of wire that is 0.08 inch in diameter.
If p varies inversely with q and p=30 when q=12 find the equation that relates p and q.
If two variables vary inversely what will an equationrepresenting their relationship look like?