Step-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.
