Question

An automobile salesman receives a monthly bonus check if his commission income is at least $7,700.00 in a given month. There are 48 automobiles on the lot for sale and he receives a commission of $700.00 per sale. Which inequality shows the number of automobiles,x , the salesman must sell in order for him to receive a bonus check at the end of the month?

Answer 1

Answer:

The inequality that represents the number of cars he needs to sell is: $x \geq 11$

Step-by-step explanation:

The commission received by the salesman, can be modeled by the following expression:

$\text{commission}(x) = 700*x$

Where "x" is the number of sold cars. Since he needs to achieve a commission value of at least 7700, then the inequality that represents the number of cars he needs to sell is:

$700*x \geq 7700$

We can solve for "x" in order to find the number of cars he needs to sell:

$x \geq \frac{7700}{700}\\\\x \geq 11$

He needs to sell at least 11 cars.