Question

Trevor is looking at purchasing a new cellular phone plan. Company A charges $35.25 a month, plus $.11/min for local calls. Company B charges $14.25 a month, plus $.32/min for local calls. Trevor stated that if he used x amount of minutes, the cost of the phone companies would be the same. For what amount of minutes, x, would Trevor's argument be true?

Answer 1

Answer:

We can create a one-variable equation and solve for x.

we set 35.25+0.11x equal to 14.25+0.32x

35.25+0.11x=14.25+0.32x

then we just solve for x to get 100

Step-by-step explanation:

Answer 2

Answer: Trevor's argument will be true if he used 100 minutes.

Step-by-step explanation:

Let x represent the amount of minutes that Trevor would use for the cost of the phone companies to be the same.

Company A charges $35.25 a month, plus $.11/min for local calls. This means that the total cost of making x minutes of call with Company A's plan is

32.25 + 0.11x

Company B charges $14.25 a month, plus $.32/min for local calls. This means that the total cost of making x minutes of call with Company B's plan is

14.25 + 0.32x

For both costs to be the same, the number of minutes would be

35.25 + 0.11x = 14.25 + 0.32x

0.32x - 0.11x = 35.25 - 14.25

0.21x = 21

x = 21/0.21 = 100