Salaries - bcarroll01
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Transcript Salaries - bcarroll01
“Never confuse the size of your paycheck with
the size of your talent.”
1)
2)
3)
4)
Annual Salary
Set Salary
No overtime
Benefits
Vacation
1)
2)
3)
4)
Hourly Pay
Salary changes every
week
Overtime pay
Benefits for full time
No vacation
Carpenter - $52,880
Garbage Man - $37,100
High School Teacher - $61,470
Financial Analyst - $93,760
Police Officer - $55,580
Fire Fighter - $48,140
Dentist - $169,340
Pediatrician - $159,390
Massachusetts Department of Labor website
Weekly
◦ 52 Paychecks → Annual Salary ÷ 52
Bi-Weekly
◦ 26 Paychecks → Annual Salary ÷ 26
Semi-Monthly
◦ 24 Paychecks → Annual Salary ÷ 24
Monthly
◦ 12 Paychecks → Annual Salary ÷ 12
Christina is paid biweekly. Her annual salary is
$37,000. What is her biweekly salary, rounded
to the nearest cent?
→ Biweekly = 26 paychecks
Biweekly Salary = annual salary ÷ # of paychecks
= $37,000 ÷ 26
= 1423.0769
= $1,423.08
Mr. Varello is paid semimonthly. His annual
salary is $64,333. What is his semimonthly
salary, rounded to the nearest cent?
→ Semimonthly = 24 paychecks
Salary = annual salary ÷ # of paychecks
= $64,333 ÷ 24
= 2680.5416
= $2,680.54
Manny is paid semimonthly. His semimonthly
salary is $1,239. What is his annual salary?
How many paychecks does Manny get?
→ 24 paychecks
How much is each paycheck for?
→ $1,239
How much does Manny receive per year?
→24 paychecks x $1,239
= $29,736
Please do problems 2-10 in your notebook
on page 300 of the textbook. Show all work.
Sarah has been offered a new job as an
assistant manager in a shoe department. She
will work 54 hours each week and earn $15 an
hour. For this work schedule and rate of pay,
is it possible for Sarah’s gross pay for one
month to be at least $3,650?
Typical work week is 40 hours
◦ Workers receive regular pay for up to 40 hours per
week
To calculate pay for regular hours:
◦ Wage = (hourly rate) x (number of hours worked)
Maureen works at a local Chicken King
Restaurant. Her regular hourly wage is
$9.70. If she regularly works 40 hours per
week, what is her regular weekly pay?
Weekly Pay= (hourly rate) x (number of hours)
= (9.70) x (40)
= 388
Maureen makes $388 per week
Mark Willow works as a customer service
representative and is paid $9.10 per hour.
He worked 38 hours lat week. What was his
gross pay?
Gross pay = (hourly rate) x (number of hours)
= (9.10) x (38)
= 345.8
Mark earned $345.80 last week
Hours worked in a week greater than 40
Usually pays 1.5 times hourly rate
“Time and a half”
How many hours of overtime for:
◦ 45 hours?
◦ 54 hours?
◦ 38 hours?
Janice earns $10 per hour. If her regular
hours are 40 hours per week, and she
receives time-and-a-half overtime, find her
total pay for a week in which she works 45
hours.
Total Pay = Regular Pay + Overtime Pay
Regular Pay
(Reg. Hrs) x (Hrly Rate)
(40 hours) x ($10)
= $400
Reg Pay = $400
Overtime Pay
(OT hrs)x(hrly rate)x(1.5)
(5 hrs) ($10) (1.5)
= $75
OT Pay = $75
Janice earns $10 per hour. If her regular
hours are 40 hours per week, and she
receives time-and-a-half overtime, find her
total pay for a week in which she works 45
hours.
Total Pay = Regular Pay + Overtime Pay
Total Pay = $400 + $75
= $475
Kenny Walker works as a shopping mall
security guard and is paid $7.50 an hour. He
is paid time-and-a-half for all hours over 40.
Find his gross pay when he works 46 hours a
week.
Gross Pay = Reg. Pay + OT Pay
= $300 + $67.50
= $367.50
Sarah has been offered a new job as an
assistant manager in a shoe department. She
will work 54 hours each week and earn $15 an
hour. For this work schedule and rate of pay,
is it possible for Sarah’s gross pay for one
month to be at least $3,650?
Yes, gross pay would be:$3,660
Page 301, numbers 12-21
For double time, multiply by 2 instead of 1.5
2) Yoko is paid semimonthly. How many
fewer paychecks does she receive in a year
compared to someone who is paid weekly?
28 paychecks
3) Sean is paid biweekly. His annual salary is
$42,500. What is his biweekly salary to the
nearest cent?
$1,634.62
4) Cynthia’s semimonthly salary is $1,371.50.
What is her annual salary?
$32,916
5) Baseball player Alex Rodriguez earned
$27,708,525 in 2007. He played in 158
games. What was his salary per game to the
nearest thousand dollars?
$175,370.41
$175,000
6) Ceil gets paid biweekly. Her biweekly
salary is $1,763.28. What is her annual
salary?
$45,845.28
7) John’s weekly salary is $478.25. His
employer is changing the pay period to
semimonthly.
What is John’s annual salary?
$24,869
What will John’s semimonthly salary be?
$1,036.21
8) Ralph earns $72,000 annually and is paid
semimonthly. Alice also earns $72,000 but is
paid biweekly.
How many more paychecks does Alice get?
2 paychecks
What is the difference between Ralph and
Alice’s paycheck?
$230.77
9) Beth’s annual salary was $38,350. This year
she received $46,462. Beth is paid biweekly.
What was her biweekly salary last year?
$1,475
What is Beth’s biweekly salary this year?
$1,787
How much more does Beth receive?
$312
10) Justin is a golf pro. He works eight
months per year, and is paid $76,000.
During the winter months, he teaches golf
privately and earns another $12,500. What is
his average salary based on his yearly
earnings?
$7,375
12) Hector works in a gas station and earns
$8.60 per hour. Last week he worked 29
hours. What was his gross pay?
$249.40
13) Eddie works at a Beep-N-Kleen car wash.
He earns $8.40 per hour. Last week he
worked x hours. What was his gross pay?
$8.40x
14) Lynn makes $9 an hour. Last week she
worked 43 hours.
What was her regular gross pay?
$360.00
What was her overtime pay?
$40.50
What was her total pay?
$400.50
15) Amy works 20 per week. She earns $8.10
per hour and receives double-time for
working on Sundays. Next week, she will
work 20 regular hours and 8 hours on
Sunday. What will her total pay be?
$291.60
16) Tom earns $12.50 per hour. He regularly
works 40 hours a week and receives timeand-a-half for overtime. Last week he
worked 42 hours. How much did he make?
$537.50
17) Pedro works 35 regular hours per week.
He earns $9.20 per hour and time-and-ahalf for overtime. Last week he worked 41
hours and received a gross pay of $305.80,
which was incorrect. How much is he owed?
$99.00
18) Colby and Cheryl work in different
supermarkets. Colby earns $8.90 an hour
and is paid time-and-a-half for overtime.
Cheryl earns $7.10 an hour and is paid
double time. Who earns more for one hour of
overtime?
Cheryl by 85 cents
19) Ron earns x dollars per hour. He works
40 hours per week. What is his annual salary?
52 (40x)
20) Michael earns $10 an hour. He works 40
hours per week. How many overtime hours
would he need to work for his overtime pay
to be greater than he regular pay?
27 hours
21) Jim worked 40 hours last week plus 8
overtime hours. His gross pay was $1,248.
What was his hourly rate?
$24
What was his overtime hourly rate?
$36
and Salaries
Equations involving 1 or more variables
Can use any letter to represent a variable
Similar to what we have been doing.
Christina is paid biweekly. Her annual salary is
$37,000. What is her biweekly salary, rounded to
the nearest cent?
Biweekly Salary =
annual salary
# of paychecks
Annual Salary = $37,000
# of Paychecks = 26
$37,000
26
$1,423.08
Christina is paid biweekly. Her annual salary is
$Y. What is her biweekly salary, rounded to the
nearest cent?
Biweekly Salary =
annual salary
# of paychecks
Annual Salary = $Y
# of Paychecks = 26
$Y
26
Y
26
Manny is paid semimonthly. His semimonthly salary
is $1,239. What is his annual salary?
Annual Salary = (salary )(# of paychecks)
= ($1,239) (24) = $29,736
Semimonthly salary = $1,239
# of Paychecks = 24
Carlos earns x dollars biweekly. Express his annual
salary algebraically.
Annual Salary = (Biweekly salary )(# of paychecks)
= ($x) (26) = 26x
Biweekly salary = $x
# of Paychecks = 26
CHECK YOUR UNDERSTANDING
Alex is paid semimonthly. His annual salary is y
dollars. Express his semimonthly salary
algebraically.
Annual Salary = $Y What
does this
Alex makes
$Y mean?
per year
Paid Semimonthly
Alex gets
paychecks
What
does24
this
mean?
Semimonthly Salary =
y
24
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Maureen works at a local Chicken King
Restaurant. Her regular hourly wage is
$9.70. If she regularly works 40 hours per
week, what is her regular weekly pay?
Weekly Pay= (hourly rate) x (number of hours)
= (9.70) x (40)
= 388
Maureen makes $388 per week
Roger regularly works h hours per week at a rate
of d dollars per hour. Express his annual salary
algebraically.
Weekly Pay= (hourly rate) x (number of hours)
= ($d) (h hours)
= d • h dollars per week
Annual Salary = (weekly salary) (52)
= 52dh
Janice earns $10 per hour. If her regular
hours are 40 hours per week, and she
receives time-and-a-half overtime, find her
total pay for a week in which she works 45
hours.
Total Pay = Regular Pay + Overtime Pay
Total Pay = (40)($10) + (5)($10)(1.5)
= $475
Ron regularly works 40 hours per week, at a rate of x
dollars per hour. Last week he worked y overtime hours at
time-and-a-half. Express his total weekly salary
algebraically.
Total Pay = Regular Pay + Overtime Pay
Total Pay = (reg hrs)(hrly rate) + (ot hrs)(hrly rate)(1.5)
= 40x + (y)($10)(1.5)
= 40x + 15y
Like Terms
Samantha worked her 40 regular hours
last week, plus 7 overtime hours at the
time-and-a-half rate. Her gross pay was
$611.05. What was her hourly rate?
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CHECK YOUR UNDERSTANDING
Jillian worked her 40 regular hours last
week, plus 2 overtime hours at a
double-time rate. Her gross pay was
$484. What was her hourly rate?
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Last week, Saul worked r regular hours
and t overtime hours at a time and-a-half
rate. He earned $700. If x represents his
hourly rate, express x in terms of r and h.
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CHECK YOUR UNDERSTANDING
Jonathan worked h hours at an
hourly rate of r dollars. He also
worked w hours at an overtime rate
of double time. Express his total pay
for the week algebraically.
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EXTEND YOUR UNDERSTANDING
Jovanna gets paid a regular-pay rate of
r dollars for 40 hours worked. She is
paid at a time-and-a-half rate for up to
16 overtime hours worked and a
double-time rate for any overtime
hours worked greater than 16 hours.
Write a piecewise function, p(z), for
Jovanna’s pay when she works z hours.
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