For number 13 - 15 use the problem below.
Under a certain Law, the first ₱30,000.00 of earnings are subjected to 12% tax,
earning greater than ₱30,000.00 and up to ₱50,000.00 are subjected to 15% tax, and
earnings greater than ₱50,000.00 are taxed at 20%. Write a piecewise function that
models this situation.
a. () = 0.12 ≤ 30,000
b. () = 0.12 < 30,000
c. () = 0.12 > 30,000
d. () = 0.12 ≥ 30,000
14.
a. () = 0.15 30,000 < ≥ 50,000
b. () = 0.15 30,000 < ≤ 50,000
c. () = 0.15 30,000 ≤ ≥ 50,000
d. () = 0.15 30,000 ≥ ≥ 50,000
15.
a. () = 0.20 ≥ 50,000
b. () = 0.20 ≤ 50,000
c. () = 0.20 > 50,000
d. () = 0.20 < 50,000
Answer (1)
Answer:13.Correct answer: a. f(x) = 0.12x, x ≤ 30,00014.Correct answer: b. f(x) = 0.15x, 30,000 < x ≤ 50,00015.Correct answer: c. f(x) = 0.20x, x > 50,000Step-by-step explanation:13.First ₱30,000.00 taxed at 12%We are looking for the correct way to write that tax applies to earnings less than or equal to ₱30,00014.Earnings between ₱30,001 to ₱50,000 taxed at 15% This means we want x greater than 30,000 but less than or equal to 50,00015.Earnings greater than ₱50,000 taxed at 20%This means strictly greater than ₱50,000
