Martins family is driving to the beach for vacation. The total trip is 680 miles and Martins father averages 60 miles per hour on trip. The distance remaining d is represented by the function d=-60h+680, where h is the number of hours since the family began driving. If they have been driving for 4 hours did they make it to their destination, if not how far do they still have to go?

Answer 1

To find out if the Martins family has made it to their destination after driving for 4 hours, we can plug \( h = 4 \) into the equation for the remaining distance:

\[ d = -60h + 680 \]

Substituting \( h = 4 \):

\[ d = -60(4) + 680 \]

Calculating that gives:

\[ d = -240 + 680 \] \[ d = 440 \]

So, after driving for 4 hours, the remaining distance to the beach is 440 miles. Since the total trip is 680 miles, they have not made it to their destination yet.