In one month Kimberly earned $500 at her part-time job, and $50 was withheld for federal income tax. Suppose she earns $750 next month. How much will be withheld for federal income

It will be withheld $75 for federal income.

Step-by-step explanation:

Proportions

Assuming the federal income tax is proportional to the earnings, we can establish the following relationship between the income tax (T) and the earnings (E):

T = k.E

Kimberly earned E=$500 and paid T=$50 for federal income tax, With this information, we can calculate the value of k:

50 = k ( 500)

k = 50 / 500

k = 0.1

The model is now:

T = 0.1*E

If Kimberl earns $750 next month, the tax will be:

T = 0.1*($750)

T = $75

It will be withheld $75 for federal income.

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!