Question

jovan is considering two job offers. each company pays a fixed monthly salary plus a commission based on the amount of sales. the graph shows the income potential for each job.
company a: $y = 500x + 4000$
company b: $y = 250x + 5000$
if jovan plans on selling $2,000 dollars in monthly sales, which company should he work for?
if jovan plans on selling $7,000 dollars in monthly sales, which company should he work for?

Explanation:

Step1: Define x for $2,000 sales

$x = 2$ (since x is in thousands of dollars)

Step2: Calculate Company A salary

$y = 500(2) + 4000 = 1000 + 4000 = 5000$

Step3: Calculate Company B salary

$y = 250(2) + 5000 = 500 + 5000 = 5500$

Step4: Compare salaries for $2k sales

$5500 > 5000$, so Company B pays more.

Step5: Define x for $7,000 sales

$x = 7$ (since x is in thousands of dollars)

Step6: Calculate Company A salary

$y = 500(7) + 4000 = 3500 + 4000 = 7500$

Step7: Calculate Company B salary

$y = 250(7) + 5000 = 1750 + 5000 = 6750$

Step8: Compare salaries for $7k sales

$7500 > 6750$, so Company A pays more.

Answer:

1. For $2,000 in monthly sales: Company B
2. For $7,000 in monthly sales: Company A