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: Set up profit - formula

Let $x$ be the number of lawns mowed. The total revenue from mowing $x$ lawns is $30x$ dollars. The total salary expense in a 7 - day week is $210\times7 = 1470$ dollars. The profit $P$ is given by $P=30x - 1470$.

Step2: Set up inequality

We know that the profit is more than $150$ dollars. So, $30x-1470>150$.

Step3: Solve the inequality

Add $1470$ to both sides of the inequality: $30x>150 + 1470$, which simplifies to $30x>1620$.

Step4: Isolate $x$

Divide both sides of the inequality by $30$: $x>\frac{1620}{30}=54$.

Answer:

D. 61, E. 80