Write and solve an inequality that represents the possibke numbers of miles you bike.

Question

You bike forb2 hours at a speed no faster than 17.6 miles per hour.

The bike portion of and Ironman competition is 112 miles. Your friend says that if you continue to bike at this pace, you will be able to complete the bike portion of the Ironman I'm less than 6.5 hours. Is your friend correct? Explain.

Answer 1

First you figure out about how fast he is traveling per hour (see a)

a.) x/2 ≤ 17.6

x/2×2 ≤ 17.6×2

x= 35.2

Than complete the second equation (see b)

b.) 112/6.5 ≤ 17.6

17.23 ≤ 17.6

Yes because when you divide 112 by 6.5 you get 17.2 which is less than 17.6.

So, Yes, your friend is correct.