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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Answer:

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

     

The function that can be used to calculate John's weekly salary, S, when he sells t cars each week is S = 935 + 180(x- 7).

Given

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.

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

Commission above 7 cars = $180 per car

John's weekly salary = $375 + commission on the number of cars he sells.

If John sells x cars each week then the commission earned by John

= 80×7 + 180(x- 7)

Therefore,

John's weekly salary, S, when he sells t cars each week is;

Each week salary = $375 + 80×7 + 180(x- 7)

Each week salary = $375 +  560 + 180(x- 7)

Each week salary = 935 + 180(x- 7)

S = 935 + 180(x- 7)

Hence, the function that can be used to calculate John's weekly salary, S, when he sells t cars each week is S = 935 + 180(x- 7).

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