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
Accepted Solution
A:
Answer:S = 935 when t ≤ 7S = (180t - 325) when t > 7Step-by-step explanation:John's weekly salary = $375 + commission on number of cars he sellCommission for the first seven cars sold = $80 per carCommission 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 + commissionS = 375 + 560 + 180(t - 7)S = 935 + 180(t - 7)S = 935 when t ≤ 7 (180t - 325) when t > 7