Question

A phone company offers two monthly plans. Plan A costs $9 plus an additional $0.17 for each minute of calls. Plan B costs$25 plus an additional $0.15 for each minute of calls. For what amount of calling do the two plans cost the same?

Answer 1

800 minutes

Explanation:

Make 2 expressions, one for Plan A, and one for Plan B

Plan A:

$9, and 0.17 per minute

9+0.17x

Plan B:

$25, and 0.15 per minute

25+0.15x

We want to find when they are the same, so we can set them equal to each other

9+0.17x=25+0.15x

Solve by isolating the variable, x

Subtract 9 from both sides

0.17x=16+0.15x

Subtract 0.15x from both sides

0.02x=16

Divide both sides by 0.02

x=800

At 800 minutes they will cost the same