Respuesta :
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 [tex]0.12x+23[/tex].
The total cost of calling for x minutes using plan B would be cost of x minutes plus fixed charge that is [tex]0.14x+18[/tex].
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.
[tex]0.14x+18=0.12x+23[/tex]
[tex]0.14x-0.12x+18=0.12x-0.12x+23[/tex]
[tex]0.02x+18=23[/tex]
[tex]0.02x+18-18=23-18[/tex]
[tex]0.02x=5[/tex]
[tex]\frac{0.02x}{0.02}=\frac{5}{0.02}[/tex]
[tex]x=250[/tex]
Therefore, calling for 250 minutes will cost same using both plans.
Upon substituting [tex]x=250[/tex] in expression [tex]0.14x+18[/tex], we will get:
[tex]0.14(250)+18=35+18=53[/tex]
Therefore, the cost will be $53, when the two plans cost the same.
