Andrew is going to drive from his house to City A without stopping. Andrew's house

is 160 miles from City A and after driving for 3 hours, he will be 40 miles away from

City A. Write an equation for the function D (t), representing Andrew's distance

from City A t hours after leaving his house

D=160-13 1/3t

Step-by-step explanation:

D is distance in this instance

We are using y=mx+b for this.

The initial distance is 160 miles, that's our y-intercept or b.

Now we need to find our slope. If Andrew is 40 miles away in 3 hours, he is 13 and 1/3 miles away in 1 hour. It's negative because you are subtracting from the initial distance. You can keep that as an improper fraction if that makes it easier for you.

Now plug it in

Distance=13 1/3 miles times how many hours subtracted from 160 or D=-13 1/3+160. This can be rearranged to the answer above.