Question

Q.6.

Carol wants to earn at least $150 for her charity while running a race. She will earn $20 for
participating plus $7 for each mile she runs. If m represents each mile she runs, which
inequality represents the inequality?
7m+20 <150
7m+20>150
20m+7≤ 150
20m +72 >150

Answer 1

7m + 20 ≥ 150

Closest option is 7m + 20 > 150 which is the second choice

Explanation:

The words "at least" indicate a ≥ inequality.

There is a fixed earning of $20 for entering the race. So this amount will be earned on regardless of how much Carol runs

For each mile she runs she earns $7. For running m miles, she earns 7m dollars

Total amount earned for running m miles = 7m + 20
This must be at least $150
So the correct inequality is
7m + 20 ≥ 150

I don't see this exact inequality in any of the answer choices but that is the correct answer.