Question

Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving at a constant rate of 50 mi/h. Use the function you wrote in Item 4 to complete the following:

f(1.5) = _____. The value indicates that after _____ hours of driving,
Aubrey and Charlie will have traveled _____ miles.

Answer 1

1. The total distance will be equal to 20 miles plus the remaining distance which would be obtained when you multiply the speed to time t. The equation would be written as follows:

120 = 20 + 50t

2. The minimum time would be 0 hours. The maximum time is when the total distance of 120 is fully covered.

t ≤ (120 - 20)/50

t ≤ 2 hours

Thus, the domain would be 0 < t ≤ 2.

Explanation:

Answer 2

1 First blank; f(1.5)=95 2 Blank; 1.5 3 Blank; 95

Explanation:

you use the equation f(x)=50x+20 and put 1.5 in

f(1.5)=50(1.5)+20 = f(1.5)=95

you get 95, and that is the number of miles

1.5 is number of hours