Question

Write and solve an equation to answer the following question. The Smith family rented a recreational vehicle for a seven-day vacation. The cost to rent the recreational vehicle was $560 plus $0.50 per mile. How many miles were driven if the total cost was $1350?

a. 790 mi
b. 1580 mi
c. 395 mi
d. 3820 mi

Answer 1

1580 miles

Explanation:

We can represent the total cost for the rental with the equation d=560+0.5m where d is the cost and m is the miles driven. We know this equation works as 560 is the fixed cost, and it costs $0.5 per mile, and in math, "per" means multiplication.

Now we can solve for m as we know that d=1350 in this case.

Solving we get:

1350=560+0.5m

790=0.5m

1580=m

Thus, they drove 1580 miles.