ANemployee is paid a base salary of $2,150 a month plus an 8% commission on all sales over $7,000 during the month. How much must he sell in one month to earn a total of $3,120 for the month/

let the sales over $7000 be x

2150 + .08x = 3120
.08x = 970
x = 12125

so he must have sales of 12125+7000 or $19,125

thanks immensely. got it

To find out how much the employee must sell in one month to earn a total of $3,120, we need to consider both the base salary and the commission.

Let's break down the problem step by step:

Step 1: Determine the base salary
The employee's base salary is given as $2,150 per month.

Step 2: Calculate the commission
The commission is based on sales made over $7,000. The commission rate is 8%. So, the commission earned can be calculated by multiplying the sales made over $7,000 by 0.08 (8%).

Commission = (Sales - $7,000) * 0.08

Step 3: Calculate the total earnings
The total earnings for the month can be calculated by adding the base salary and the commission:

Total Earnings = Base Salary + Commission

Now, let's substitute the given values and the unknown variables into the equation:

$3,120 = $2,150 + (Sales - $7,000) * 0.08

Step 4: Solve for Sales
Now, we need to solve the equation for Sales. Let's simplify and solve the equation step by step:

$3,120 - $2,150 = (Sales - $7,000) * 0.08

$970 = (Sales - $7,000) * 0.08

To isolate the variable (Sales - $7,000), we need to divide both sides of the equation by 0.08:

$970 / 0.08 = (Sales - $7,000)

12,125 = Sales - $7,000

To find the value of Sales, we need to isolate the variable:

Sales = 12,125 + $7,000

Sales = $19,125

Therefore, the employee must sell $19,125 in one month to earn a total of $3,120 for the month.