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

Answer:

250 minutes of calling will cost same using both plans.

$53

Step-by-step 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.

$0.14x+18=0.12x+23$

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

$0.02x+18=23$

$0.02x+18-18=23-18$

$0.02x=5$

$\frac{0.02x}{0.02}=\frac{5}{0.02}$

$x=250$

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.