Question

A dog groomer charges her clients by the weight of the dog. The following piecewise function represents the total charge, f(x) for a dog weighing x pounds.

f(x) = 2.5x if 0 ≤ x ≤ 20
3.5x if 10 < x ≤ 50
5x if x > 50

what would be the last point graphed on the second piece of the function?

(__, __)

Answer 1

(50, 175)

Since the second piece is 3.5x for 10 < x ≤ 50, its right endpoint is x = 50 and f(50) = 3.5·50 = 175.