Question

how Jim is a furniture salesman. His weekly payment is $300 plus 3.5% of his total sales for the week. Jim sells X dollars worth of furniture during the week. Write a function p(x) Which can be used to determine his pay for the week. Use this function to determine Jim’s pay to the nearest cent for a week when his sales total is $8250

Answer 1

The function p(x) will be the fixed amount plus a variable amount.

The fixed amount is $300, so this is already ok.

The variable amount is 3.5% of "x", his total sales for the week.

To take 3.5% of "x", we can multiply x by 0.035, so the variable amount is: 0.035x.

The complete function is the sum of the fixed amount anf the variable amount:

`p(x)=300+0.035x`

To use this formula to determine Jim's pay, we input 8250 as "x", so:

`\begin{gathered} p(8250)=300+0.035\cdot8250 \\ p(8250)=300+288.75 \\ p(8250)=588.75 \end{gathered}`

So, Jim's pay will be $ 588.75.