The Income-tax for the state of Kalamazoo is as follows: An annual salary up to and including $45,000 is charged an income tax of 2%. From $45,000 - $80,000 is charged 2% for the first $45,000 and 3% for the salary over $45,000. For salaries above $80,000 it is 2% for the first $45,000, 3% for $45,000-80,000 plus 4% for anything over $80,000.

Write a piecewise function representing this situation:

and

Evaluate f(15,435) What would the income tax be for this amount?

a. See the attached image.

b. Income tax be for this amount = $25.73

Step-by-step explanation:

a. Write a piecewise function representing this situation.

Note: See the attached image for the piecewise function.

In the attached, x represents the annual salary.

b. Evaluate f(15,435) What would the income tax be for this amount?

Here, x = 15,435.

Since x is less than $45,000, the first line of the piecewise function in the attached image is the relevant one to be used in calculating the annul salary.

Therefore, we have:

f(15,435) = Annual income tax = x * 2% = $15,435 * 2% = $308.70

Income tax be for this amount = Annual income tax / Number of months in a year = $308.70 / 12 = $25.73

5x+2x=49

7x=49

x=7. 35 apples