Question

A dog runs 9.5 mi in 0.5 h. The distance the dog travels varies directly with the amount of time it runs.

Answer 1

$9.5\ miles\ in\ 0.5h\\ x\ miles\ in\ 1.75h\\\\ proportion:\\ 9.5-0.5\\ x-1.75\\\\ cross\ multiplication\\\\ 9.5*1.75=0.5x\\\\ 16,625=0.5x\ \ \ | divide\ by\ 0.5\\\\ x=33.25miles\\\\ It\ will \ run\ 33.25\ miles.$

Answer 2

We divide 9.5 / 0.5 to see how much it runs in 1 hour.

9.5 / 0.5 = 19

So it runs 19 miles in 1 hour.

Now we multiply 1.75 to 19 miles.

1.75 * 19 = 33.25

So he will run 33.25 miles in 1.75 hours.