Question

The distance traveled at a constant speed is directly proportional to the time of travel if Olivia traveled 306 miles in 8.5 hours how many miles will Olivia travel in 9.1 hours at the same constant speed
Answers are
323.6miles
288.4miles
327.6miles
21.6 miles
Thanks

Answer 1

That the distance traveled is proportional to time means,
$$
d=kt\\
$$
where k is some constant.
To find k, we use our givens:
$$
306=k\times 8.5\implies k=\cfrac{306}{8.5}\\
$$
So, she will will travel in 9.1 hours,
$$
d=\cfrac{306}{8.5}\times9.1~miles
$$

Answer 2

Does this make sense?

Answer 3

sorry not really