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The bike portion of an 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 in less than 6.5 hours. Is your friend correct? Explain

2 Answers

4 votes

Answer:

He is correct, because, at the highest speed possible, 112 miles is less than it. iow, He is correct because 112 is less than 144.4

Explanation:

The original question was:

You bike for 2 hours at a speed no faster than 17.6 miles per hour.

a.) Write and solve an inequality that represents the possible numbers of miles you bike.

You ride at a speed no more than 17.6 miles per HOUR for 2 HOURs. So, this inequality is

x ≤ 17.6(2) or x ≤ 17.6 * 2

to solve, we multiply these together

17.6 * 2 is 35.2

so, the solution for a is x ≤ 35.2

b.) The bike portion of an 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 in less than 6.5 hours. Is your friend correct? Explain.

we know have an equation from the first problem:

(m is miles)

(x is mph)

(h is hours)

m ≤ x * h

so, we fill these in to get this new inequality:

112 ≤ 17.6 * 6.5

simplified, this is 112 ≤ 144.4

User Bragboy
by
8.7k points
4 votes
We have no clue because you have not said what the speed/pace is. At a speed of 17.23 mph you will bike 112miles in 6.5 hours.
User Lei Shi
by
8.7k points