As a salesperson, Brittany earns $1,200 a month plus 7.5% commission on her sales. She needs to earn at least $3,300 a month to pay all her bills. The following inequality can be used to find the amount of sales Brittany needs to have each month.
1200 plus 0.075 x greater than or equal to 3300
What is the solution to the inequality?
The inequality is 1200 + 0.075x ≥ 3300, where x represents the amount of sales Brittany needs to have each month.
To solve this inequality, we can start by subtracting 1200 from both sides of the inequality:
0.075x ≥ 3300 - 1200
0.075x ≥ 2100
Next, we can divide both sides of the inequality by 0.075 to isolate x:
x ≥ 2100 / 0.075
x ≥ 28000
Therefore, the solution to the inequality is x ≥ 28000. Brittany needs to have at least $28,000 in sales each month to pay all her bills.