Lesson 4-1
Use an algebraic formula to calculate the gross pay for Greg. He worked for 12 hours at a hourly rate of $6.50.
$78
What are two things you can do if all of your products sell out on the first day?
Raise the price and increase the number of products for sale
What is the revenue function?
r=sn
Michael sells mini footballs for $9 each. His fixed costs are as follows:
Labor: 35 hours at $4.50 per hour
Advertising and energy: $32.50
Variable costs: Boxes for $4 each
What is the revenue function?
r=9n
Graph the line through each set of points. Give the equation of the line and its slope.
(-2,-5), (0,-1), (2,3)
y=2x-1
m = 2
Greg has a gross pay of $78. If his income tax withholding is $0, find his FICA tax withholding and his take-home pay.
FICA: $5.97
Take-Home Pay: $72.03
If the total cost to produce 200 stickers is $443, how much should the stickers be sold for to cover all costs?
$3
What is the cost function?
c=un+f
Michael sells mini footballs for $9 each. His fixed costs are as follows:
Labor: 35 hours at $4.50 per hour
Advertising and energy: $32.50
Variable costs: Boxes for $4 each
What is the cost function?
c=4n+190
Solve for x.
5(3x-7)=25
x=4
Social Security: 6.2% of all income at or under $57,600.
Medicare: 1.45% of all income at or under $135,000.
Tom earns $68,000 a year. How much does he pay in FICA taxes?
$4,557.20
If the total cost of to produce hats is $468.48 and they make 24 hats, what should the price be to cover all costs?
$20
Find the revenue function if the selling price is $19.
r=19n
Michael sells mini footballs for $9 each. His fixed costs are as follows:
Labor: 35 hours at $4.50 per hour
Advertising and energy: $32.50
Variable costs: Boxes for $4 each
What is the profit function?
p=5n-190
Write an algebraic expression for the word phrase.
The cost of one book if n books cost $80.
c=80/n
One week, Taylor works 25 hours.
Find the gross pay making $5.50 per hour.
Find the amount of FICA withholding.
Find Taylor's take-home pay.
FICA: $10.52
Take-Home Pay: $113.98
Find the cost to resell 100 boxes of golf balls if the cost includes the following:
Labor: 20 hours at $4 an hour
Materials: Balls at $2.15 per box
Advertising and Transportation: $32.50
$327.50
Find the cost function for the company if the total unit cost is $6.77 and the total fixed cost is $282.
c=6.77n+282
Michael sells mini footballs for $9 each. His fixed costs are as follows:
Labor: 35 hours at $4.50 per hour
Advertising and energy: $32.50
Variable costs: Boxes for $4 each
Find the break-even point.
38 mini footballs
Write in slope-intercept form and find the slope.
2x-4y=20
y=1/2x-5
m=1/2
A person who pays the maximum FICA tax in one year must make a salary greater than what amount?
$135,000
Find the cost to produce 50 water bottles if the costs include the following:
Labor: 50 hours at $5 per hour
Materials: Cups at $3, Paint at $0.40 per cup, Boxes at $0.15 each
Energy and Transportation: $32.50
$460
Using the profit function, find the profit in selling 32 cups if the cost function and revenue function are as follows.
c=4.20n+75
r=8n
$46.60
Tim wants to find the break even point for the T-shirt business when the fixed cost is $282, the unit cost is $6.77, and the selling price is $19. Determine the break even point algebraically using the cost function and revenue function.
24 shirts to break even
Solve by graphing.
x+2y>=2
x>=1
Show correct graph and shading.