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 total price for all the shirts purchased if x represents the number of shirts purchased?(1 point)

f(x)={12,14, 1≤x≤50x>50


f(x)={14x,12x, 1≤x≤50x>50


f(x)={x+14,x+12, 1≤x≤50x>50


f(x)={14,12, 1≤x≤50x>50

Answer 1

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

Reason: If x ≤ 50 each shirt costs $14 so total = 14x; if x > 50 each costs $12 so total = 12x.