Using proportions, it is found that he bikes:
- 28.5 miles in one and a hour.
- 47.5 miles in two and a hours.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In this problem, the proportion is that he bikes 9.5 miles each half hour, hence:
- In one hour, he bikes 2 x 9.5 = 19 miles.
- In one and a half hour, he bikes 3 x 9.5 = 28.5 miles.
- In two hours, 4 x 9.5 = 38 miles.
- In two and a half hours, he bikes 5 x 9.5 = 47.5 miles.
More can be learned about proportions at brainly.com/question/24372153
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