Under a certain Law, the first P30,000.00 of earnings are subjected to 12% tax,
earning greater than P30,000.00 and up to P50,000.00 are subjected to 15%tax, and
earnings greater than P50,000.00 are taxed at 20%. Write a piecewise function that
models this situation.
13.
t(x) = {14.
15.
CHOICES
13.
a. t(x) = 0.12x if x ≤ 30,000
b. t(x) = 0.12x if x < 30,000
c. t(x) = 0.12x if x > 30,000
d. t(x) = 0.12x if x ≥30,000
14.
a. t(x) = 0.15x if 30,000 < x ≥ 50,000
b. t(x) = 0.15x if 30,000 < x ≤ 50,000
c. t(x) = 0.15x if 30,000 ≤ x ≥ 50,000
d. t(x) = 0.15x if 30,000 ≥ x ≥ 50,000
15.
a. t(x) = 0.20x if x ≥ 50,000
b. t(x) = 0.20x if x ≤ 50,000
c. t(x) = 0.20x if x > 50,000
d. t(x) = 0.20x if x < 50,000
Were is the answer?
Give me answer
Clearly, start with 12A
After that, none of the choices are correct. This is because you have to include the tax on the first 30K when calculating the tax on the next 20K. And so on.
t(x) = 0.12 * 30000 + 0.15(x-30000) if 30K < x <= 50K
t(x) = 0.12 * 30000 + 0.15 * 20000 + 0.20(x-50000) if x > 50K
That simplifies to
t(x) = 0.15x - 900 if 30K < x <= 50K
t(x) = 0.20x - 3400 if x > 50K
Finance
bilibili
To write a piecewise function that models this situation, we need to consider the different tax rates based on the range of earnings.
1. For earnings less than or equal to P30,000: The tax rate is 12%.
2. For earnings greater than P30,000 and up to P50,000: The tax rate is 15%.
3. For earnings greater than P50,000: The tax rate is 20%.
Now let's write the piecewise function:
a. t(x) = 0.12x if x ≤ 30,000
This choice correctly represents that if the earnings (x) are less than or equal to P30,000, the tax rate is 12%.
b. t(x) = 0.15x if 30,000 < x ≤ 50,000
This choice correctly represents that if the earnings (x) are greater than P30,000 and up to P50,000, the tax rate is 15%.
c. t(x) = 0.20x if x ≥ 50,000
This choice correctly represents that if the earnings (x) are greater than P50,000, the tax rate is 20%.
Therefore, the correct choices are:
13. a. t(x) = 0.12x if x ≤ 30,000
14. b. t(x) = 0.15x if 30,000 < x ≤ 50,000
15. c. t(x) = 0.20x if x ≥ 50,000