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.\n12\n37\n54\n61\n80

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.\n12\n37\n54\n61\n80

Answer

Explanation:

Step1: Calculate total employee - salary in a week

The daily salary to employees is $210. For a 7 - day week, the total salary paid to employees is $210\times7 = 1470$.

Step2: Set up the profit - inequality

Let $x$ be the number of lawns mowed. The revenue from mowing $x$ lawns is $30x$. The profit $P$ is given by $P=30x - 1470$. We know that $P>150$. So, $30x-1470 > 150$.

Step3: Solve the inequality for $x$

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

Answer:

D. 61, E. 80