## 15. John works for the local used car dealership. His weekly salary is \$375 plus a commission based on the number of cars that he sells. His

Question

15. John works for the local used car dealership. His weekly salary is \$375 plus a commission based on the number of cars that he sells. His commission is \$80 per car for the first 7 cars sold each week. For any car over 7 sold each week, John earns a commission of \$180 per car. Complete the piecewise function that can be used to calculate John’s weekly salary, S, when he sells t cars each week. Note: Use the letter t as your variable

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2 weeks 2021-11-22T00:55:44+00:00 1 Answer 0

S = 935 when t ≤ 7

S = (180t – 325) when t > 7

Step-by-step explanation:

John’s weekly salary = \$375 + commission on number of cars he sell

Commission for the first seven cars sold = \$80 per car

Commission above 7 cars = \$180 per car

If John sells t cars each week then commission earned by John

= 80×7 + 180(t – 7)

So the salary for week = 375 + commission

S = 375 + 560 + 180(t – 7)

S = 935 + 180(t – 7)

S = 935 when t ≤ 7

(180t – 325) when t > 7