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

Explanation

Let the sales be represented by x

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

$\frac{6.5}{100}\times x=0.065x$

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

$\begin{gathered} 0.065x\ge3350-1500 \\ 0.065x\ge1850 \\ x\ge\frac{1850}{0.065} \\ x\ge28461.5385 \end{gathered}$

Answer: $28461.5385