a landscaper earns $30 for each lawn her company mows, but she pays $210 per day in salary to her employees…

a landscaper earns $30 for each lawn her company mows, but she pays $210 per day in salary to her employees. if her company made more than $150 profit from mowing lawns in a 7 - day week, what are the possible numbers of lawns the company could have mowed? select two options.\n□12\n□37\n□54\n□61\n□80

a landscaper earns $30 for each lawn her company mows, but she pays $210 per day in salary to her employees. if her company made more than $150 profit from mowing lawns in a 7 - day week, what are the possible numbers of lawns the company could have mowed? select two options.\n□12\n□37\n□54\n□61\n□80

Answer

Explanation:

Step1: Calculate total weekly salary cost

The daily salary cost is $210, so for a 7 - day week, the total salary cost $C = 210\times7=1470$.

Step2: Set up profit inequality

Let $x$ be the number of lawns mowed. The revenue from mowing $x$ lawns is $30x$. The profit $P=30x - 1470$. We want $P>150$, so $30x-1470 > 150$.

Step3: Solve the inequality

Add 1470 to both sides of the inequality: $30x>150 + 1470$, so $30x>1620$. Then divide both sides by 30: $x>\frac{1620}{30}=54$.

Answer:

D. 61, E. 80