four friends share the profit of a lawn care service equally. the friends charge $45 per lawn and spend $30…

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 $275?\n$\frac{45m - 30}{4}geq275$\n$\frac{45m}{4}-30geq275$\n$\frac{45m - 30}{4}leq275$\n$\frac{45m}{4}-30leq275$

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 $275?\n$\frac{45m - 30}{4}geq275$\n$\frac{45m}{4}-30geq275$\n$\frac{45m - 30}{4}leq275$\n$\frac{45m}{4}-30leq275$

Answer

Explanation:

Step1: Calculate total earnings before gasoline cost

They charge $45 per lawn and mow $m$ lawns, so total earnings before gasoline cost is $45m$.

Step2: Calculate total profit

They spend $30$ on gasoline, so total profit is $45m - 30$.

Step3: Calculate each - person's earnings

There are 4 friends, so each - person's earnings is $\frac{45m - 30}{4}$.

Step4: Set up the inequality

They want each person to earn at least $275$, so the inequality is $\frac{45m - 30}{4}\geq275$.

Answer:

$\frac{45m - 30}{4}\geq275$