Question

Some salespeople earn a commission that pays them a percentage of the price of the items they sell. The equation I = hr + ps gives the income of a salesperson who receives an hourly wage plus commission, where h is the number of hours worked, r is the hourly rate of pay, p is the percent commission, and s is the dollar amount of the salesperson's sales.Solve for s in terms of I, h, r, and p.S=

Answer 1

Step-by-step explanation:

We are given the following equation that represents the total income of a salesperson;

`I=hr+ps`

Where the variables are;

`\begin{gathered} h=hours\text{ worked} \\ r=rate\text{ per hour} \\ p=percent\text{ commission} \\ s=dollar\text{ amount of sales} \end{gathered}`

We are required to solve for s, which means in other words, we'll make s the subject of the equation.

Let us begin by isolating ps in this equation;

`I=hr+ps`

We switch sides to start with;

`hr+ps=I`

Subtract hr from both sides;

`hr-hr+ps=I-hr`
`ps=I-hr`

Divide both sides by p;

`(ps)/(p)=(I-hr)/(p)`
`s=(I-hr)/(p)`

ANSWER:

`s=(I-hr)/(p)`