Question

Write and solve an inequality for each of the word problems.A person does door to door sales and earns a salary of $1500 per month plus 6.5% of the sales. What must the sales be if the person has a monthly income of at least $3,350.

Answer 1

Step-by-step explanation

Let the sales be represented by x

Since the person earns 6.5% of the sales, this becomes;

`(6.5)/(100)* x=0.065x`

Recall that at least implies greater than or equal to in inequality. Therefore, the equation becomes;

`0.065x+1500\ge3350`

We will then solve for x

`\begin{gathered} 0.065x\ge3350-1500 \\ 0.065x\ge1850 \\ x\ge(1850)/(0.065) \\ x\ge28461.5385 \end{gathered}`

Answer: $28461.5385