Part A: The distance a spring stretches varies directly with the amount of force applied. Write an equation to represent the direct relationship using d for distance and f for force. Part B: Find the constant of variation if a force of 110 newtons stretches a spring 5 inches. Part C: If the same spring is stretched 3 inches, how many newtons of force were applied? Show your work to support your answer.

Part A: The distance a spring stretches varies directly with the amount of force applied. Write an equation to represent the direct relationship using d for distance and f for force. Part B: Find the constant of variation if a force of 110 newtons stretches a spring 5 inches. Part C: If the same spring is stretched 3 inches, how many newtons of force were applied? Show your work to support your answer.

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter8: Rational Expressions And Equations

Section8.9: Use Direct And Inverse Variation

Problem 503E: The length a spring stretches varies directly with a weight placed at the end of the spring. When...

See similar textbooks

Similar questions

The force needed to break a board varies inversely with its length. If Tom uses 20 pounds of pressure to break a 1 .5-foot long board, how many pounds of pressure would he need to use to break a 6 foot long board?
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?
The force needed to break a board varies inversely with its length. Richard uses 24 pounds of pressure to break a 2-foot long board. a. Write the equation of variation. b. How many pounds of pressure is needed to break a 5-foot long board?
The distance a moving body travels, d, varies directly with time, t, it moves. A train travels 100 miles in 2 hours a. Write the equation that relates d and t. b. How many miles would it travel in 5 hours?
If p vanes inversely with q and p=5when q=6 , find the equation that relates p and q.
The length a spring stretches varies directly with a weight placed at the end of the spring. When Meredith placed a 6-pound cantaloupe on a hanging scale, the spring stretched 2 inches. How far would the spring stretch if the cantaloupe weighed 9 pounds?
Find the actual distance from Seattle to Portland.
If v varies directly as w and v=21 , when w=8 . find the equation that relates v and w.
Ben starts walking along a path at 4 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 6 mi/h. How long will it be before Amanda catches up to Ben?