Question

Each week Jose earns $500 plus 3% of his sales. How much must he sell in order to make at least $800 in one week

Answer 1

Step1: Define the parameters

`\begin{gathered} x=sales \\ y=\text{weekly salary} \end{gathered}`

Step2; Write out a linear expression

`\begin{gathered} \text{ 3\% of his sales=}\frac{\text{3}}{100}* x=0.03x \\ \text{then } \\ y=0.03x+500 \end{gathered}`

To make $800 in a week, then y = $800

Step3: Substitute the value of y into the expression

`\begin{gathered} y=0.03x+500 \\ 800=0.03x+500 \\ 800-500=0.03x \\ 300=0.03x \end{gathered}`

Then the value of x is

`\begin{gathered} x=(300)/(0.03)=10000 \\ x=10000 \end{gathered}`

Therefore, he must make 10000 sales to earn at least $800 in a week