Question

Piecewise Linear Functions in Contexts Quick Check
1 of 5
Use the table to answer the question.

Number of T-shirts Cost Per Shirt ($)
0–50 14.00
More than 50 12.00
The soccer team made it to the state championship, and the booster club is making T-shirts for the fans to wear at the game. The apparel store sets prices based on the number of shirts purchased. The table shows prices dependent upon the number of shirts purchased. Which piecewise function represents the price of each shirt dependent upon the number of shirts purchased?(1 point)

f(x)={50,51, 1≤x≤14x≥12


f(x)={x+14,x+12, 1≤x≤50x>50


f(x)={14,12, 1≤x≤50x>50


f(x)={12,14, 1≤x≤50x>50

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Answer 1

Answer: f(x) = {14, 12, 1 ≤ x ≤ 50; x > 50}.

Explanation: The price per shirt is $14 when you buy up to 50 shirts and $12 when you buy more than 50, so the piecewise function is f(x)=14 for 1≤x≤50 and f(x)=12 for x>50.