Question

Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.

Tito receives a weekly salary of ​$500 at an appliance store. He also receives a 55​% commission on the total dollar amount of all sales he makes. What must his total sales be in a week if he is to make a total of ​$750
The equation is . ​Tito's total weekly sales should be ​$ nothing.
​(Type an equation using x as the​ variable.)

Answer 1

Answer: $454.55

Explanation:

Tito's weekly salary is always $ 500 per week.

But your weekly commission income depends on the sales you make. Your commissions are 55%.

If we call x the dollar amount of all sales made by Tito in a week, then his income z(x) is given by the following equation:

`z (x) = 0.55x + 500`

We wish that
`z (x) = 750`.

Then we equate the equation to 750 and solve for the variable x.

`0.55x + 500 = 750\\\\0.55x + 500-500 = 750-500\\\\0.55x = 250`

`(0.55)/(0.55)x = (250)/(0.55)`

`x = \$\ 454.55`

Total sales made by Tito must be $454.55