Question

Shelley wants to purchase a cell phone package, which includes a free phone. The cost of the package is $0.10 per minute, for the number of minutes she uses the phone, plus a base rate of $89.00.

Answer 1

The function would be linear because the rate of change is constant.

Explanation:

Given

`Base= \$89.00`

`Rate = \$0.10` per minute

See attachment for complete question and options

First, we write the function that calculates the cost (C(t)) for t minutes.

This is calculated as:

`Cost = Base + Rate * t`

`C(t) = 89.00 + 0.10 * t`

`C(t) = 89.00 + 0.10t`

Rewrite as:

`C(t) = 0.10t + 89.00`

A function that has the above format is referred to as a linear function which has the general format

`f(x) = mx + b`

Where

m represents the slope/rate and it is constant

From the list of given options, (a) is correct.