A phone company offers two monthly plans. Plan A costs $12 plus an additional $0.16 for each minute of calls. Plan B costs $29 p

Question

2 years ago

14

A phone company offers two monthly plans. Plan A costs $12 plus an additional $0.16 for each minute of calls. Plan B costs $29 p

lus an additional $0.12 for
each minute of calls.

For what amount of calling do the two plans cost the same?

What is the cost when the two plans cost the same?

Mathematics

1 answer:

lora16 [44] · Answer 1 · 2022-07-28T15:53:24+03:00

Answer:

425 min
$80

Step-by-step explanation:

The equation to reflect the monthly plans:

Plan A f(x) = 0.16x + 12
Plan B g(x) = 0.12x + 29

We need to find the value of x when f(x) = g(x):

0.16x + 12 = 0.12x + 29
0.16x - 0.12x = 29 - 12
0.04x = 17
x = 17/0.04
x = 425 minutes

The cost is:

$0.16*425 + $12 = $80