David is a car salesman. He earns a salary of $750 a month, plus a commission of $300 per car that he sells. David needs to earn a minimum of $3,500 per month. Write an inequality for the number of sales he needs to make to earn his minimum. Let c represent the number of cars sold per month.
Let x=number of cars he sells.
$750 is his base salary.
If he sells no cars, he gets paid $750.
If he sells one car, he gets paid $750+300.
If he sells two cars, he gets paid $750+300×2.
If he sells three cars, he gets paid $750+300×3.
If he sells x cars, he gets paid $750+300×x.
Using the income function above, you can complete the inequality required.
To write the inequality representing the number of sales David needs to make to earn his minimum, we can start by representing the total income he earns in terms of the number of cars sold.
David earns a salary of $750 per month, plus a commission of $300 per car sold. So his total income for a given month is given by:
Total income = Salary + (Commission per car * Number of cars sold)
Let's plug in the given values:
Total income = $750 + ($300 * c)
Now, we know that David needs to earn a minimum of $3,500 per month. So we can set up an inequality by equating the total income to the minimum required income:
Total income ≥ Minimum required income
Plugging in the values, we get:
$750 + ($300 * c) ≥ $3,500
This is the inequality representing the number of sales David needs to make to earn his minimum.