Question

Four friends share the profit of a lawn care service equally. The friends charge $45 per lawn and spend $30 of their total earnings on gasoline for the lawnmowers each week. Which inequality can be used to find m, the number of lawns they need to mow next week so that each person earns at least $275?

Answer 1

Answer:

45m - 30 ≥ 1100

Step-by-step explanation:

Amount charged for mowing a lawn = $ 45

The total number of lawns they mow in a week is "m". Since, they charge $ 45 per one lawn, for m lawns the total amount they will charge will be $ 45m

They spend $ 30 of their total earnings on gasoline each week. So the total profit accumulated each week will be = 45m - 30

Each person wants to earn atleast $275. Since, they are 4 friends in total, the total they want to earn is atleast 4 x 275 = $ 1100

We need to find how many lawns they need to mow to earn atleast $ 1100 in the next week. We can set up the equation as:

45m - 30 ≥ 1100

This inequality can be used to used to find m, the number of lawns they need to mow next week so that each person earns at least $275. This can be solved as follows:

45m ≥ 1130

m ≥ 25.11

Since the number of lawns need to be whole number, and the need atleast $ 1100, so we round up the number of lawns to 26 to ensure they earn atleast $ 1100 in total .

Therefore,

m ≥ 26

Answer 2

Answer:

A

Step-by-step explanation: