Algebra

Which of the following tables is an example of inverse variation?

X Y 5, 1/2 10, 1/4 15, 1/6 20, 1/8

Given the parent function of y=radical x , list the values that would fill in the table of the transformed function 2003-21-03-00-00_files/i0150001.jpg. x 2003-21-03-00-00_files/i0150002.jpg 0 4 16 25 36

A. -6, -4, -2, -1, 0

Describe how the transformed function below is obtained from its parent function. Y= (x-10)^3

A. The parent function 2003-21-03-00-00_files/i0220001.jpg is shifted 10 units to the right.

Find the domain of the parent function below. Y=x^2

A. all real numbers

The table below shows the x variable for a table. Choose a corresponding y table that will create a direct variation. X 2 4 5 6

A. Y - 7, 14, 17.5, 21

Solve the equation. Then check your solution. N/54 = 4/9

A.24

Julio has started his very own floral business. He sells centerpieces for $19.50 each. His fixed costs are $500 per month, and each centerpiece cost $8 to produce. Let n represent the number of centerpieces you sell. Write an equation to determine the cost, C. Write another equation to determine the revenue, R.

B.

Which of the following graphs is most likely a member of the family f(x) = 1/x?

B.

Describe how the transformed function below is obtained from its parent function. Y=radical x +1

B. The parent function 2003-21-03-00-00_files/i0210002.jpg is shifted 1 unit up.

State the change from the parent function in dotted black to the transformed function in blue. 2003-21-03-00-00_files/i0030000.jpg

B. The transformed function shifted 2 units up.

Which of the following is a property of inverse variation?

B. Two variables exhibit inverse variation if their products always equal the same nonzero constant.

Find the range of the parent function below. Y= 1/x

B. all real numbers except 0

What are the domain and range of the parent function of an absolute value equation?

B. domain: all real numbers, range: all real numbers greater than or equal to zero

What translation has taken place in the graph of f(x) = x^3-4 from the graph of the parent function?

B. f(x) was shifted down four units

Solve the equation. Then check your solution. 5/9d=9/10

B. 1 31/50

Which of the following equations represents an inverse variation?

B. 1/2y = 1/x

Find the direct variation equation that relates g and h. G H 2 3 5 ,7.5 9 ,13.5 11 , 16.5

B. H= 3/2g

Which of the following is not an example of a parent function?

B. Y=2x^3

Solve the equation. Then check your solution. X+19=5

B.-14

Choose the graph that models the function below. Y=(x-1)^2

C.

Which of the following graphs is most likely a member of the family of the square root functions?

C.

Given the parent function of y=x^2, list the values that would fill in the table of the transformed function 2003-21-03-00-00_files/i0120001.jpg. x 2003-21-03-00-00_files/i0120002.jpg -5 -4 -3 -2 -1

C. 4, 1, 0, 1, 4

Find the range of the parent function below. Y = radical x

C. all positive numbers and 0

Find the range of the parent function below. Y = x^2

C. all positive numbers and 0

Find the range of the parent function below. y = |x|

C. all positive numbers and 0

If y varies inversely with x and y = 3 when x = 4, what is the value of y when x = 2?

C. y = 6

A farmer uses pesticides to keep harmful bugs away from his crops. The amount of pesticide used is an inverse variation of the percentage of bugs remaining on the crops. If he uses 5 gallons of pesticide per acre, 5% of the bugs remain. Which equation describes this relationship? (Let p denote the percentage of bugs and g denote the number of gallons used in the equations below.)

C. P= 1/4g

Which of the following parent functions has the most restricted domain?

C. Y= radical x

Which of the following graphs is most likely a member of the family of the cubic functions?

D.

Describe how the transformed function below is obtained from its parent function. Y=x^2+4

D. The parent function 2003-21-03-00-00_files/i0190003.jpg is shifted 4 units up.

Describe how the transformed function below is obtained from its parent function. Y=|x-1|

D. The parent function y = |x| is shifted 1 unit to the right.

Which of the following tables is an example of inverse variation?

D. X. Y 1, 1/5 2, 1/10 3, 1/15 4, 1/20

Find the constant of variation in the inverse relation below. S T 1 2 2 1 3 2/3 4 1/2

D. 2

Given the parent function of 2003-21-03-00-00_files/i0050000.jpg as the dotted black line below, determine the equation of the transformed function in blue. 2003-21-03-00-00_files/i0050001.jpg

D. Y= radical x +2

Below are two tables; one represents a direct variation from x to y, and the other represents an inverse variation from y to z. Which of the equations below maps x to z? 2003-20-04-00-00_files/i0250000.jpg

D. Z = 1/5x

Solve the problem. If your cost in manufacturing a shipment of clocks consists of a setup expense of $225 plus $11 per clock, and you want your break-even point for a particular shipment to be no greater than 25 clocks, then what is the minimum price that you can charge per clock?

a. $20

A local band, The Desert Rats, is planning to make a compact disk. It will cost $12,500 to record and produce a master copy, and an additional $3.00 to make each sale copy. If they plan to sell the final product for $8.00, how many disks must they sell to break even?

a. 2500 disks

Solve the equation. Then check your solution. 5p=140

a. 28

When dealing with business analysis, when there is a graph of two linear equations, what is the point of intersection called?

a. break-even point

Solve the equation. Then check your solution. V/7 =3

b. 21

Profit is always calculated as revenue minus expenses. If a company's expenses were $10 million, write an equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars). Then, determine the profit when revenue is $25 million.

b. 4072-01-02-04-00_files/i0300001.jpg; $15 million

Solve the equation. Then check your solution X - 4=2

b. 6

Suppose you invest $10,410 in equipment to manufacture a new board game. Each game costs $2.65 to manufacture and sells for $20. How many games must you make and sell before your business breaks even?

c. 600 games

Solve the equation. Then check your solution. H - 5.3=2.6

c. 7.9

Julio has started his very own floral business. He sells centerpieces for $19.50 each. His fixed costs are $500 per month, and each centerpiece cost $8 to produce. What is your break-even point?

c. Julio must sell approximately 44 centerpieces to break even.

What does it mean when there is no coefficient of the variable?

c. the implied coefficient is 1

Suppose you have a $15 coupon that can be used on any purchase over $100 at your favorite clothing store. The discounted price of a sports jacket is $203. What is the retail price of the jacket?

d. $218.00

Find the break-even point for the given cost and revenue equations. Round to the nearest whole unit. C = 94n + 534,000 R = 168n

d. 7216

Solve the problem. Find the break-even point for the given cost and revenue equations. Round to the nearest whole unit. C = 20n + 134,000 R = 160n

d. 957

Mary's yard is a mess. She needs to hire someone to prune her trees and shrubs. A landscaping service she calls quotes her a price of $15 consultation fee plus $8 an hour for the actual work. Mary's neighbor has offered to help her out. She doesn't charge a consultation fee, but does charge $10 an hour for her work. Who do you think Mary should hire for a 3-hour job and why?

d. Mary should hire her neighbor; 3 hours of labor would cost $30, while the landscaping service would charge $39.