2
algebra

A salesperson earns a base salary of $2000 plus a 10% commission on sales. To earn at least $5000 this month, what must their sales ss be?

A

s30,000s \geq 30,000

B

s3,000s \geq 3,000

C

s70,000s \geq 70,000

D

s50,000s \geq 50,000

Correct Answer: A

Choice A is the correct answer. Set up the income inequality.

  1. Income Equation: Base + Commission = 2000+0.10s2000 + 0.10s
  2. Target: At least $5000 5000\rightarrow \geq 5000
  3. Inequality: 2000+0.10s50002000 + 0.10s \geq 5000
  4. Subtract 2000: 0.10s30000.10s \geq 3000
  5. Divide by 0.10: s30,000s \geq 30,000

?�� Strategic Tip: Dividing by 0.10 is the same as multiplying by 10.

Choice B is incorrect because it likely divides by 1 instead of 0.10. Choice C is incorrect because it adds 2000 to 5000 instead of subtracting. Choice D is incorrect because it ignores the base salary.