Question

a phone company offers two plans monthly plans. plan A cost $29 plus an additional $0.08 for each minute of calls. plan b has no initial fee but cost $0.13 for each minute of calls.

Answer 1

Answers:

580 minutes

$75.4

Step-by-step explanation:

Plan A cost $29 plus $0.08 per minute of call. So, if x is the number of minutes, the cost for plan A is

A = 29 + 0.08x

Plan B cost $0.13 for each minute, so the cost for plan B is

B = 0.13x

Then, to calculate the amount of calling that make both costs the same, we need to solve the following equation

A = B

29 + 0.08x = 0.13x

Solving for x, we get:

29 + 0.08x - 0.08x = 0.13x - 0.08x

29 = 0.05x

29/0.05 = 0.05x/0.05

580 = x

Therefore, the cost of A and B will be the same when the amount of calls is 580 minutes.

Finally, we can calculate the cost, replacing x = 580, so:

B = 0.13x

B = 0.13(580)

B = 75.4

So, the cost is $75.4