Answer:
45m - 30 ≥ 1100
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