Taxes - Fractions, Functions, Piecewise Functions

2. 
   Nolan works part-time at a movie theater making his state’s minimum wage of $10.10 per hour.

3. He receives a paycheck every 2 weeks.

4. 7.65% is deducted from each paycheck for payroll taxes.

1. If he works 20 hours over the course of the first two weeks in February,

2. how much should he expect to have taken out of his paycheck for payroll taxes?

The Tax Policy Center estimates that 40% of middle-income households will pay no federal income tax for tax year 2022.

Write this percent as a fraction in simplest form.

$3.34 out of Annette’s $73 bill at the grocery store was sales tax.

Write this sales tax as a percentage.

Maritza earns $18 an hour tutoring at the community center.

On weekends, she is paid a bonus $15 per shift.

If x is the number of hours worked,

create a function f(x) to express how much money Maritza earns on a Saturday.

Taylor makes $13 per hour at the grocery store.

She always works between 10-15 hours per week to leave time for her homework and band practice.

Her gross wages can be modeled as w(h) = 13h,

where h is the number of hours worked per week.

What is the lower bound of the range of this function?

2. Susan earns 0.5% interest annually  in her savings account. She can model her savings account balance after earning interest for a year as f(x) = x + 0.005x, or just f(x) = 1.005x, where x is the account balance.

3. What is the domain of this function?

What is the domain of the function pictured?

x ≤ ___

What is the range of the function pictured?

y ≥ ___

Sabah was able to model her current voluntary deductions for retirement and health insurance using the function f(x) = 0.10x + 375 where x represents her gross income every two weeks.  

Sabah always makes at least $500 in gross income during each two week pay period.

What is the minimum biweekly deduction according to this function?

The graph shown reflects Tyrese's pricing for projects as a freelance artist based on how many hours it takes him to complete a project.

How much does he charge a client for a project that takes 6 hours to complete?

f(6) = ___