Question

A car company is testing the speed and acceleration of one of its new sports cars. the table below shows the distance the car travels when it accelerates from standstill. Use a graphing calculator to answer the following questions:

a. explain why this data is not linear and justify your answer mathematically using the slopes of a pair of secant lines.

b. in the context of the problem, what does average rate of change represent? what is the average of change on the interval [0,20]? indicate appropriate units of measure.

c. determine the quadratic regression function R(t), for the data

Answer 1

i need somebody to walk me through this please, I don't know what to do or where to begin

Answer 2

@amistre64 @ganeshie8 @jdoe0001 @phi @zepdrix

Answer 3

can someone at least explain how to start this? please

Answer 4

@Loser66

Answer 5

a) define the slope between 2 sets of point, if they are the same its linear, if not, then its not linear

b) average rate of change is the slope between any 2 points and calculates the "rate of change" or constant speed that it would have taken to cover then same "distance" in the same amount of time.

c) using a list on your graphing calculator, minesa ti83; populate List1 and List 2 with the table data. then use STAT, CALC, QuadReg with inputs L1,L2 to have it calculate the regression for it