Question 85495
An account executive receives a base salary plus a commission. On $20,000 in monthly sales, the account executive receives $1800. On $50,000 in monthly sales, the account executive receives $3000.
A.) Determine a linear function that will yield the compensation of the sales executive for a given amount of monthly sales.
You are given two points (20000,1800) and (50000,3000)
slope = [20000-50000]/[1800-3000) = [1200/30000] = 0.04
Find the y-intercept:
3000= 0.04(50,000)+b
b= 3000-2000
b=1000
EQUATION:
compensation = 0.04(sales)+1000

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B.) Use this model to determine the account executive's compensation for $85,000 in monthly sales.
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C(85000) = 0.04(85000)=1000
C(85000) = 3400 =1000
C(85000) = $4400
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Cheers,
stan H.