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Part A

Joseph runs 2 1/2 miles on Monday. Each day after that, he runs the same 1 1/3 mile route every morning. His goal is to run at least 6 miles
by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?

1 Answer

4 votes

Answer:

Joseph must run at least 3 more days to achieve 6 miles per week.

Explanation:

Since Joseph runs 2 1/2 miles on Monday, and each day after that, he runs the same 1 1/3 mile route every morning, and his goal is to run at least 6 miles by the end of the week, to determine which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal, the following calculation must be performed:

1/2 = 0.5

2 1/2 = 2.5

1/3 = 0.333

1 1/3 = 1.333

(6 - 2.5) / 1.333 = X

3.5 / 1.333 = X

2.625 = X

Therefore, Joseph must run at least 3 more days to achieve 6 miles per week.

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