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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?

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Answer:

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.

User Dean Barnes
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