Lindsay found a new job as an insurance salesperson. She has her choice of two different compensation plans. Plan F was described
to her as a $450 base weekly salary plus a 10% commission on the
amount of sales she made that week. The function f(x) represents
the amount Lindsay earns in a week when making sales of dollars
with compensation plan E Plan Gwas described to her with the
graph shown. The function g(x) represents the amount Lindsay earns
in a week when making sales of dollars with compensation plan G.
Write a rule for the functions f(x) and g(x); then identify and
compare their domain, range, slope, and y-intercept. Compare
the benefits and drawbacks of each compensation plan. Which
compensation plan should Lindsay take? Justify your answer.
Earnings ($)
1000
900
800
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600
500
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300
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100
0
1000 2000 3000 4000 5000
Sales (5)
Rule for f(x)
Rule for g(x)
Compare
f(x)
Domain
Range
Slope
y-intercept
g(x)
Domain
Range
Slope
y-intercept