Question

A cell phone provider will allow you to buy a phone over time. They require a $50 initial payment and then charge $25 per month. If this situation were represented by a function, what would be the slope?

Answer 1

25

Explanation:

Given that:

Initial payment done for buying the phone = $50

Charges per month for the phone = $25 per month

To find:

The equation to represent the situation and its slope.

Solution:

First of all, let us assume that
`m` represents the number of months for which monthly is to be made.

Charges paid for one month = $25

Charges paid for
`m` months = $25
`m`

Total cost of the phone = Initial payment + Charges paid for
`m` months

`C = 25m + 50`

It is a linear equation between two variables
`C` and
`m`.

This equation can be compared with slope intercept form of a line.

Slope intercept form of a line is represented by:

`y=Mx+c`

`M` is the slope.

On Comparing, we get:

`y = C, M = 25, x = m, c = 50`

Therefore, the slope is 25.