A rock is dropped from the top of a 500-foot cliff. After 1 second, the rock is traveling 45 feet per second. After 3 seconds, the rock is traveling 109 feet pem second. Let y be the rate of descent and x be the number of seconds since the rock was dropped.

a. Write a linear equation that relates time x to rate y. Hint: Use the ordered pairs (1,45) and (3,109)
b. Use this equation to determine the rate of travel of the rock 5 seconds after it was dropped,

The linear equation that relates time x to rate y is y=___

what "following statement"?

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

answer: 0.64

step-by-step explanation: