A car travels along the highway to Yuma at a steady speed. When it begins, it
is 400 miles from Yuma. After 7 hours, it is 50 miles from Yuma. Which
function describes the car’s distance from Yuma?
A.
B.
C.
D.

The car starts 400 miles from Yuma and after 7 hours is only 50 miles away, which means it has traveled 350 miles during that time. The average speed can be calculated as 350 miles divided by 7 hours, resulting in 50 miles per hour as the rate of distance reduction. Thus, the function representing the car’s distance from Yuma over time is .

To double-check the logic, let’s verify: If is 7, substituting gives . This matches the problem’s information perfectly, confirming that option C, , is indeed the correct function.