Question

A phone company offers two monthly plans. Plan A costs $20 plus an additional $0.11 for each minute of calls. Plan B costs $14 plus an additional $0.13 for each minute of calls.

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

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

Answer 1

a. 300 minutes.

b. $53

Step-by-step explanation:

make equations from given information.

• consider each minute as "n"

equation 1 from plan A :

20 + 0.11(n)

equation 2 from plan B :

14 + 0.13(n)

Solve them simultaneously,

14 + 0.13(n) = 20 + 0.11(n)

0.13(n) - 0.11(n) = 20 - 14

0.02(n) = 6

n = 300

insert n = 300 in any of the equation, to find cost.

14 + 0.13(n)

14 + 0.13(300)

$53