Question

A phone company offers two monthly plans. Plan A costs $23 plus an additional $0.12 for each minute of calls. Plan B costs $18 plus an additional $0.14 of each minute of calls.

Answer 1

250 minutes of calling will cost same using both plans.

$53

Explanation:

Please consider the complete question.

A phone company offers two monthly plans. Plan A costs $23 plus an additional $0.12 for each minute of calls. Plan B costs $18 plus an additional $0.14 of 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?

Let x represent the number of call minutes.

The total cost of calling for x minutes using plan A would be cost of x minutes plus fixed charge that is
`0.12x+23`.

The total cost of calling for x minutes using plan B would be cost of x minutes plus fixed charge that is
`0.14x+18`.

To find the number of minutes for which both plans will have same cost, we will equate total cost of x minutes for both plans and solve for x.

`0.14x+18=0.12x+23`

`0.14x-0.12x+18=0.12x-0.12x+23`

`0.02x+18=23`

`0.02x+18-18=23-18`

`0.02x=5`

`(0.02x)/(0.02)=(5)/(0.02)`

`x=250`

Therefore, calling for 250 minutes will cost same using both plans.

Upon substituting
`x=250` in expression
`0.14x+18`, we will get:

`0.14(250)+18=35+18=53`

Therefore, the cost will be $53, when the two plans cost the same.