Question

Joseph runs 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? *

Answer 1

2 + 1 1/3x ≥ 6

x ≥ 3 days

Explanation:

Monday = 2 miles

Other days = 1 1/3 miles

x = least number of days after Monday that Joseph needs to run

to reach his goal

Total miles = 6 miles

The inequality is

2 + 1 1/3x ≥ 6

1 1/3x ≥ 6 - 2

1 1/3x ≥ 4

4/3x ≥ 4

Divide both sides by 4/3

4/3x ÷ 4/3 ≥ 4 ÷ 4/3

x ≥ 4 × 3/4

x ≥ 3 days