Ask Question
31 January, 18:37

An account executive receives a base salary plus a commission. On $40,000 in monthly sales, the account executive receives $3200. On $60,000 in monthly sales, the account executive receives $3800. A.) Determine a linear function that will yield the compensation of the sales executive for a given amount of monthly sales.

B.) Use this model to determine the account executive's compensation for $85,000 in monthly sales.

+2
Answers (1)
  1. 31 January, 18:55
    0
    (A) x=2000+0.03y

    (B) $4550

    Step-by-step explanation:

    Let his base salary = a

    Let his Monthly Pay=x

    Volume of Monthly Sales = y

    Rate of Commission=b

    Since His Monthly Pay, x is dependent on a constant salary and directly proportional to his sales volume

    x=a + by

    On $40,000 in monthly sales, the account executive receives $3200

    3200 = a+40000b

    On $60,000 in monthly sales, the account executive receives $3800.

    3800=a+60000b

    Solving these two simultaneously

    3800=a+60000b

    3200 = a+40000b

    Subtracting

    600=20000b

    b = 600/20000 = 0.03

    From (1)

    3200 = a+40000b

    3200 = a + (40000 X 0.03)

    3200 = a + 1200

    a = 3200-1200=2000

    (A) The linear function that will yield the compensation (x) of the sales executive for a given amount of monthly sales (y) is given as:

    x=2000+0.03y

    (B) For $85000 in Monthly sales, his compensation will be:

    x=2000+0.03y

    = 2000 + (0.03X85000)

    =2000+2550

    =$4550
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “An account executive receives a base salary plus a commission. On $40,000 in monthly sales, the account executive receives $3200. On ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers