Colton is taking a long bike ride where he rides at a constant speed. The distance he bikes is proportional to the amount of time he has been biking. After 3.5 hours, he has traveled a distance of 49 miles. (a) Find the ratio of the distance Colton has traveled to the amount of time he has been traveling. Express this as a unit rate and use appropriate units. What does this rate represent?
(b) Colton travels at the same rate as in (a) for 6 hours. Let d be the distance he biked. Set up and solve a proportion for d.
(c) Colton would like to bike 200 miles. Let h be the number of hours it will take Colton to bike this distance. Solve a proportion for h. Round to the nearest tenth of an hour.