Bob and Carl each rented the same kind of moving truck from EZ move. There was a flat rental fee plus a charger per mile that the truck was driven. Bob's cost for his truck was $112.96 for 138 miles. Carl's cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck?

the answer is d 0.42+55

Let flat rental fee be F

And per mile charge be M

We know that Bob drove 138 miles and was charged $112.96

And Carl drove 209 miles and was charged $142.78.

⇒ F + 138*M = 112.96 ... (i)

And F + 209*M = 142.78 ... (ii)

Subtracting (i) from (ii)

71*M = 29.82

⇒ M = 0.42

Substituting value of M in (i)

⇒ F + 138*0.42 = 112.96

⇒ F + 57.96 = 112.96

⇒ F = 55

So the fixed charge was $55 and the per mile charge was $0.42