Rosa runs 3 1/3 miles on Monday. Each day after that, she runs the same 1 1/2 mile route every morning. Her goal is to run at least 7 miles by the end of the week. Which inequality represents the least number of days after Monday that Rosa needs to run to reach her goal?

x ≥ 2 4/9 days

Step-by-step explanation:

Rosa runs 3 1/3 miles on Monday. Each day after that, she runs the same 1 1/2 mile route every morning. Her goal is to run at least 7 miles by the end of the week. Which inequality represents the least number of days after Monday that Rosa needs to run to reach her goal?

Let the number of days left after Monday to run = x

At least 7 miles = Greater than or equal to

Hence:

Our inequality equation is given as:

3 1/3 + 1 1/2x ≥ 7

1 1/2x ≥ 7 - 3 1/3

1 1/2x ≥ 3 2/3

x ≥ 3 2/3 ÷ 1 1/2

x ≥ 11/3 ÷ 3/2

x ≥ 11/3 × 2/3

x ≥ 22/9

x ≥ 2 4/9 days

Therefore, the inequality that represents the least number of days after Monday that Rosa needs to run to reach her goal is

x ≥ 2 4/9 days

for the points! : )

boxplot e is the answer