Question

Andre has been offered an entry-level job. The company offered him $46,000 per year plus 3% of his total sales. Andre knows that the average pay for this job is $64,000, What would Andre's total sales need to be for his pay to be at least as high as the average pay for this job? (Your answer should be accurate to 2 decimal places.)

Answer 1

We know that:

- The company offered him $46,000 per year plus 3% of his total sales.

- the average pay for this job is $64,000

And we must find what would be the sales of Andre for his pay to be at least as high as the average pay for this job

To find it we can use a equation that represents the situation

We can use the next formula

`\text{ average pay}=\text{ base salary}+\text{ 3\% of his total sales}`

Analyzing the given information we know that

- avergare pay = 64000

- base salary = 46000

- 3% of total sales = 3% * x = 0.03 * x (x represents the total sales)

Now, replacing the values in the formula

`64000=46000+0.03x`

Since x represents the total sales we need to solve the equation for x

`\begin{gathered} 64000=46000+0.03x \\ 64000-46000=0.03x \\ 18000=0.03x \\ (18000)/(0.03)=x \\ 600000=x \\ \Rightarrow x=600000 \end{gathered}`

ANSWER:

Andre should have $600,000 in his total sales for his pay to be at least as high as the average pay for this job