contestada

Keisha will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $40 and costs an additional $0.16 per mile driven. The second plan has an initial fee of $53 and costs an additional $0.12 per mile driven.
For what amount of driving do the two plans cost the same?
What is the cost when the two plans cost the same?

Respuesta :

TheRealAera

Answer:

325 miles; $92

Step-by-step explanation:

Lets make a system of equations first. Let f(x) be the cost for the first plan and g(x) be the cost for the second plan. Also, x will be the amount of miles driven.

[tex]f(x)=40+0.16x\\g(x)=53+0.12x[/tex]

To find when the two plans cost the same, set them both equal to each other.

[tex]f(x)=g(x)\\40+0.16x=53+0.12x\\0.04x = 13\\x=325[/tex]

To find the cost when the two plans cost the same, plug x = 325 back into any of the original equations:

[tex]f(x)=40+0.16x\\f(x)=40+0.16*325=40+52=92[/tex]

Otras preguntas