The table below shows the cost of renting a bike for a given amount of time, find the rate of change in cost with respect to time.

Question

Table: Time: 1.75, 4, 7.
Cost( Dollars)4.375, 10, 17.5

Could one of the tutors please explain to me how to this?

Thanks :)

-Allyson

Answer 1

first, find the "velocity function"

cost/time: 4.375/1.75; 10/4; 17.5/7

cost/time: 2.5; 2.5; 2.528 $/hr

Well, the rate of change between the first increment and the second is zero.
The rate of change for the second to last increment is (2.528-2.5)/(7-4)=.00933 $/hr/hr