Question

27. The following chart represent the cost, Cd), in dollars, of a pizza in relation to its diameter, d, in inches. What is the average rate of change in cost from an 8 in to a 16 in pizza. d Cd) 8 2.51 103.93 125.65 147.70 16 10.05

Answer 1

The average rate of change is the ratio of the absolute change in one quantity divided by the absolute change in another quantity. Usually, the first one is dependent on the second one.

An 8 in pizza costs $2.51.

A 16 in pizza costs $10.05.

The absolute change in the cost is:

`10.05-2.51=7.54`

The absolute change in the diameter is:

`16-8=8`

Then, the average rate of change of the cost with respect to the diameter is:

`(7.54)/(8)=0.9425`

Therefore, to the nearest hundredth, the average rate of change in the cost from an 8in to a 16 in pizza, is:

`0.94`