Section 6-4


What are some benefits of having a job?

I.
II.
III.
IV.
V.
VI.
The benefits of salaried workers can include:
Vacation Time
Holiday Time
Retirement Plans
Stock Ownership Plans
Childcare Leave
Health Care


Paid Vacation
Often times, companies will increase vacation time with seniority.
→The longer you work there, the more vacation time you receive.

1)
Make a chart listing the number of years worked compared to the number of vacation days
2)
Find a pattern between the two values
3)
Keep in mind that many jobs will offer vacation days when years worked is equal to zero


You work for a paper supply company. When you were hired, your company gave you 3 vacation days with the promise of 2 additional vacation days per year that you work there.
Create an equation that models this relationship.
1) Make a chart of values
Yrs
Worked
Vac.
Days
0 3
1 5
2 7
3 9



Let x = # of years
Pattern: worked
→ Increase by 2 every time
Yrs
Worked
Vac.
Days
0 3
1 5
2 7
3 9
 y = (increase)x + (initial vac. days)
 y = 2x + 3


Alan works for a printing company. It has been a little over 4 years since he was hired.
He now makes $54,080 per year. When he was hired, he was told that he had 5 days of paid vacation time. For each year that he worked, he would gain another two days of paid vacation time to a maximum of 20 days. Find an equation modeling this relationship.
Yrs Worked:
Vac. Days:
0 1 2 3
5 7 9 11
Equation: y = 2x + 5

Alan works for a printing company. It has been a little over 4 years since he was hired. He now makes
$54,080 per year. When he was hired, he was told that he had 5 days of paid vacation time. For each year that he worked, he would gain another two days of paid vacation time to a maximum of 20 days.
How many vacation days will he have after 4 years?.
Equation: y = 2x + 5
4 years → x = 4 y = 2(4) + 5
13 vacation days

Alan works for a printing company. It has been a little over 4 years since he was hired. He now makes
$54,080 per year. When he was hired, he was told that he had 5 days of paid vacation time. For each year that he worked, he would gain another two days of paid vacation time to a maximum of 20 days.
How many vacation days will he have after 4 years?.
How much would Alan make over his 13 days?
13 days = 2.6 work weeks
Weekly Pay: 54,080 / 52 = $1,040
2.6 x $1,040 = $2,704


Page 314, #’s 2-5

5)
Roberto’s employer offers a sliding paid vacation. When he started work, he was given
3 paid days of vacation. For each six-month period he stays at the job, his vacation is increased by 2 days. x = every 6 month period
½ Yrs Worked:
Vac. Days:
0 1 2 3
3 5 7 9
Equation: y = 2x + 3

How much vacation time will she receive after 4.4 years?
Equation: y = 2x + 3 x represents 6 month periods
How many 6 month periods are there in 4.4 years?
y = 2(6)+3
= 19 days

3) When Lisa started at her current job, her employer gave her 2 days of paid vacation with the promise of 3 addition days for each year she remained there, with a maximum of 4 weeks paid vacation.
x = years worked there
Yrs Worked:
Vac. Days:
0 1 2 3
2 5 8 11
Equation: y = 3x + 2


It has been 5 years. How many days has she earned?
y = 3x + 2 y = 3(5) + 2 y = 17 days

When will she reach the maximum?
y = 3x + 2
20 = 3x + 2
18 = 3x x = 6 years → after 6 years

4) When Lou started his current job, he was told that he would receive two vacation days for each year he worked at the company.
Yrs Worked:
Vac. Days:
0 1 2 3
0 2 4 6
Equation: y = 2x
To earn 18 days?
→ 9 years

5) When George started his current job, his employer told him that at the end of the first year, he would receive 2 vacation days. After each year he worked, his number of days would double up to 5 weeks.
Yrs Worked:
Vac. Days:
0 1 2 3
0 2 4 8
Equation: y = 2 x
After 4 years?
→ 16 years

Ali has worked at a fashion magazine for the last 5 years. Her current annual salary is $64,000.
When she was hired, she was told that she had four days of paid vacation time. For each year that she worked at the magazine, she would gain another three days of paid vacation time to a maximum of 26 days. How many paid vacation days does she now get at the end of fi ve years of employment?

Ina’s employer off ers a sliding paid vacation.
When she started work, she was given two paid days of vacation. For each four-month period she stays at the job, her vacation is increased by one day.
a)
Let x represent the number of 4-month periods worked and y represent the total number of vacation days. Write an equation that models the relationship between these variables b)
How much time will she receive after working
6.5 years?

When Tyler started at his current job, his employer gave him five days of paid vacation time with a promise of five additional paid vacation days for each two-year period he remains with the company to a maximum of five work weeks of paid vacation time. Let x represent the number of 4-month periods worked and y represent the total number of vacation days.
Write an equation that models the relationship between these variables.
How many vacation days after 8 years?
When will he reach the max?

Alan works for a printing company. It has been a little over 4 years since he was hired. He now makes
$54,080 per year. When he was hired, he was told that he had 5 days of paid vacation time. For each year that he worked, he would gain another two days of paid vacation time to a maximum of 20 days.
How many vacation days will he have after 4 years?.
How much would Alan make over his 13 days?
13 days = 2.6 work weeks
Weekly Pay: 54,080 / 52 = $1,040
2.6 x $1,040 = $2,704

Section 6-4




Healthcare is taken out of all paychecks.
Covers such items as health insurance, dental insurance, etc.
You pay a percentage, your employer pays a percentage.

Who do you think pays a higher percentage of your healthcare?

P • C = I
P = Percent of individual contribution
(written as a percent)
C = Annual Cost of Healthcare (total)
I = Individual’s cost for Healthcare (what you pay)


At your new job, you contribute 15% of the cost of your healthcare. This ends up being a $22 deduction from your weekly paycheck. What is the total value of your healthcare for the year?
P = 0.20
I = $1,144
C = $5,720
Healthcare cost for the year is $5,720


For your new healthcare coverage, you pay
15% of the total cost for the year. If your biweekly check has a healthcare deduction of
$36.00, how much does your employer pay?
P = 0.15
I = $936
0.15 C = $936
C = $6,240
Your employer would pay 6,240 – 936
= $5,304
Total Cost of your healthcare is $6,240.


Target’s healthcare policy is that they will pay $1,300 per month for an employee’s healthcare. Andy, a new employee, notices that $48 is taken out of his weekly paycheck for healthcare. What percent of his healthcare does he pay?
P = 0.138
C = 18,096 I = 2,496

Pension and Unemployment


You receive a percentage of your paycheck during retirement

1.
2.
Based on 2 main things:
Length of employment
Average salary over a certain time period

Your employer offers you a pension of 1.5% of your average salary for the last 5 years of employment for every year worked. You are retiring after 25 years of employment and your salaries for the last 5 years are $88,900, $92,200, $96,000, $98,000, and
$102,000.
1)
2)
3)
Find average over last 5 years:
Find 1.5% of the average:
$95,420
$1,431.30
Multiply this amount by length of employment
= (95,420) (0.015)
= $88,900 + $92,200 $96,000 + $98,000 + $102,000
= $477,100
Your annual pension will be $35,782.50
= $95,420

Liz works at Food for Thought magazine. Her employer offers her a pension of 2.1% of her average salary over the last four years for every year worked. Liz is retiring at the end of this year,
20 years of employment. Her salaries for the last four years are $66,000; $66,000; $73,000; and
$75,000. Calculate Liz’s pension.
1)
2)
3)
Average Salary:
2.1% of average salary:
Pension: $29,400
$70,000
$1,470


Similar to unemployment in that you are receiving a paycheck that is a percentage of your former salary


Find average
Multiply average by unemployment percentage

Your weekly unemployment compensation is 60% of the 26-week average for the two highest salaried quarters. In one quarter, you earned $9,024. In the following quarter, you earned $9,800. What is your unemployment compensation?
1)
2)
3)
Find the total earnings for both quarters:
$724
$18,824
= $434.4
Weekly unemployment check is $434.40