### Home > PC > Chapter 9 > Lesson 9.3.1 > Problem9-104

9-104.

For workers in the same tax bracket, the amount of money withheld for taxes varies directly with the individual’s income. When Kyleah worked in June, she earned $1537$ and had $110.11$ in federal taxes withheld.

1. What is the value for the constant of proportionality? What does it represent in the context of the problem?

interest = earnings (constant)The constant is the withholding rate.

$110.11 = 1537K$
$K = 0.07$

2. If Kyleah had $128.17$ withheld in July for federal taxes, how much did she make?

$128.17 = \left(\text{Withholding rate}\right) · \left(\text{earnings}\right)$

3. Kyleah’s mother made $5476$ and had $759.31$ federal taxes withheld. Is this consistent with Kyleah’s withholding? Why is it different?

$759.31 = 5476$ (withholding)
Is the withholding for Kyleah's mom the same as for Kyleah?