MATH SOLVE

3 months ago

Q:
# dan will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $73.98 and costs an additional $0.07 per mile driven. the second plan has an initial fee of $0.12 per mile driven. how many miles for the two plans to cost the same?

Accepted Solution

A:

1479.6 milesStep-by-step explanation: First plan has an initial fee of $73.98 and an additional $0.07 per mile, while the second plan has a cost of $0.12 per mile. The total cost in first plan can be modeled linearly in number of miles as [tex]C_{1}(x)=73.98+0.07x[/tex]. The total cost in second plan can be modeled linearly in number of miles as [tex]C_{2}(x)=0.12x[/tex] For both the plans to cost the same, [tex]C_{1}(x)=C_{2}(x)[/tex][tex]73.98+0.07x=0.12x[/tex][tex]73.98=0.05x[/tex][tex]x=1479.6[/tex] miles∴ On travelling 1479.6 miles, both the plans cost the same.