Question

Deandre's goal is to find a job that provides an income of at least $75,000 a year. Ashley's Furniture offers him a job paying a base salary of $12,000 a year, plus a commission of 6% of his sales. Determine what Deandre's total sales will need to be for him to have a yearly income greater than or equal to $75,000.
If Deandre takes the job with Ashley's Furniture, he will need to have at least $_______ in total sales to have a yearly income greater than or equal to $75,000 per year.

Answer 1

Answer:

  at least $1,050,000

Step-by-step explanation:

Deandre's salary will be ...

  12000 + 0.06·sales

He wants that to be at least 75000, so the sales must meet the requirement ...

  12000 + 0.06·sales ≥ 75000

  0.06·sales ≥ 63000 . . . . . . . . . . . . subtract 12000

  sales ≥ 63000/0.06 . . . . . . . . . . . .divide by 0.06

  sales ≥ 1,050,000 . . . . . . . . . . . . . .evaluate

He will need to have at least $1,050,000 in total sales to have a yearly income at least $75,000.