imagine you own a small lawn care service company. your monthly expenses include fixed costs such as office…

imagine you own a small lawn care service company. your monthly expenses include fixed costs such as office rent and equipment maintenance, totaling $1,200. additionally, you have variable costs that depend on the number of lawns mowed. each lawn mowed costs $8 for fuel and supplies and $12 for labor. the total monthly expenses can be tracked using the equation $e(q)=20q + 500$. complete the table that models the companys expenses.

imagine you own a small lawn care service company. your monthly expenses include fixed costs such as office rent and equipment maintenance, totaling $1,200. additionally, you have variable costs that depend on the number of lawns mowed. each lawn mowed costs $8 for fuel and supplies and $12 for labor. the total monthly expenses can be tracked using the equation $e(q)=20q + 500$. complete the table that models the companys expenses.

Answer

Explanation:

Step1: Find $E(0)$

Substitute $q = 0$ into $E(q)=20q + 500$. $E(0)=20\times0 + 500=500$

Step2: Find $q$ when $E(q)=560$

Set $E(q)=560$ in $E(q)=20q + 500$. $560=20q + 500$. Then $20q=560 - 500=60$, so $q=\frac{60}{20}=3$

Step3: Find $E(5)$

Substitute $q = 5$ into $E(q)=20q + 500$. $E(5)=20\times5+500=100 + 500=600$

Answer:

$q$ $E(q)$
$0$ $500$
$1$ $520$
$3$ $560$
$5$ $600$