Grace is comparing cell phone plans. a prepaid phone plan costs $0.20 per minute and has no monthly fee. a contracted phone plan costs $50 per month and $0.02 per minute. how will the graphs of the monthy costs of the two cell phone plans compare where x represents minutes purchased in a month?

the prepaid phone plan will have a steeper line and lower y-intercept.
the contracted phone plan will have the same steepness and a higher y-intercept.
the prepaid phone plan will have a less steep line and the same y-intercept.
the contracted phone plan will have a steeper line and same y-intercept.

The prepaid and the contracted plans are illustrations of linear functions, where the prepaid phone plan has a steeper line and lower y-intercept.

We have:

Prepaid

Contracted

For both plans, the cost function (y) is:

Where:

Number of minutes

Steepness

So, we have:

Prepaid

The y intercept (i.e. when x = 0) is

Contracted

The y intercept is:

By comparing the steepness and the y-intercepts,

Hence, (a) is correct

See attachment for the graphs of both plans

Read more about linear equations at:

link

The prepaid phone plan will have a steeper line and lower y-intercept.

I hope this is right

Step-by-step explanation:

prepaid phone plan y = .20x

contracted phone plan y = .02x + 50

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb