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.

It took a racecar driver 3 hours and 20 minutes to go 500 miles. What is the constant of proportionality that relates the number of miles traveled, y, to the time, x?

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Howard has a scale model of the Statue of Liberty. The model is 15 inches tall. • The scale of the model to the actual statue is 1 inch :62 meters. Which equation can Howard use to determine x, the height in meters, of the Statue of Liberty? 15x 6.2 6.2x = 15 6.2 1. 15 O Tt v Open notes navigator 1 Sign in B.

a. DeepSea Challenger's descent was a change in depth of (-4) feet per second. We can use the equation y = -4x to model this relationship, where y is the depth and x is the time in seconds that have passed. How many seconds does this model suggest it would take for DeepSea Challenger to reach the bottom?

create your own equation to evaluate how many seconds it would take a firework to explode with an initial velocity of 150 ft/s and a building height of 50 ft.

The electrostatic force between two electrically charged particles varies inversely as the square of the distance between them. If two charged particles are 1.3 meters apart and the electrostatic force between them is 2 Newtons (a standard unit of force in Physics), what is (A) the constant of proportionality k , and (B) what is the force between them if the distance is changed to 2.3 meters

One a teeter-totter, Ole weighs 292# and is 17' from the center. Lena is 15' 8" from the center, they are equilibrium. How much does Lena weigh?

One bag of pesticide covers 4000 square feet. How many bags of pesticide should be purchased to cover a rectangular garden that is 180 feet by 175 feet?

The pressure  of a compressed gas is inversely proportional to the volume.  If there is a pressure of 25 pounds per square inch when the volume of gas is 400 cubic inches, find the pressure when the gas is compressed to 200 cubic inches (round to the nearest tenth if necessary). A. 15 pounds B. 50 pounds C. 12.5 pounds D. 15.5 pounds