Question

There are two phone plans. One plan has a $22 monthly fee, and cost 9 cents per minute. The second plan is 13 cents per minute, and $30 monthly fee. a. Wride an equation to represent the number of minutes use in a month that will make the plans cost the same? b. Solve the equation to find the number of minutes​

Answer 1

The phone plans will cost the same when a user utilizes 200 minutes in a month, at which point both plans' total costs will be equal.

Step-by-step explanation:

To determine when two phone plans will cost the same, we need to write an equation where both plan costs are equal, depending on the number of minutes used. For the first plan with a $22 monthly fee and a cost of 9 cents per minute, the cost C1 can be represented by C1 = 22 + 0.09m, where m is the number of minutes. The second plan has a $30 monthly fee and costs 13 cents per minute, so its cost C2 is C2 = 30 + 0.13m.

The equation for the number of minutes that makes the plans cost the same is:
22 + 0.09m = 30 + 0.13m.

To solve, we rearrange the terms to isolate m:
0.04m = 8
m = 8 / 0.04
m = 200 minutes.

Therefore, at 200 minutes, both phone plans will cost the same.