Question

Joanna is driving from Orlando, FL to Dallas, TX. The distance between Orlando and Dallas is 1,084 miles. Joanna's average rate of speed is 65 mph. The following function represents how many miles Joanna has left on her trip after t hours, F(t)=1084-65t.

After how many hours of driving will Joanna be 304 miles from Dallas?

_______ hours.

*Hint, the f(t) is given in the word problems as 304 miles. Plug the 304 in place of the f(t) and solve for t using inverse operations.

Answer 1

12 hours

Explanation:

We are given the function [ F(t) = 1084 - 65t ]

t represents the time so we are going to solve for f(t).

Substitute and solve

304 = 1084 - 65t

~Subtract 1084 to both sides

-780 = -65t

~Divide -65 to both sides

12 = t

Best of Luck!