# Mathematical Modeling in Trigonometry: Help and Review Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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#### Question 1 1. The _____ is the linear function which represents the seller's cost of a product.

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Question 2
2.
Find the market equilibrium point for the following equations:

Supply: .10x + 5

Demand: -.15x + 10

#### Question 3 3. Supply function is defined as _____.

#### Question 4 4. Elizabeth found a picture frame on sale. She wants to know if her poster will fit inside the frame, but she left the poster at home. In the image, the blue rectangle represents the frame (perimeter = 43) and the purple rectangle represents the poster. Find x and determine if the poster will fit in the frame.

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Question 5
5.
Which scenario best fits the linear equation?

y=-2x + 5

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#### Question 6 6. The y-coordinate of the vertex of a parabola that opens down is called the _____.

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Question 7
7.
Find the market equilibrium point (x, y) of the following functions:

Supply: y = -0.05x +3.7

Demand: y = 0.02x + 2.3

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Question 8
8.
Find the breakeven point of the following functions:

C(x) = 2x + 1

R(x) = 3x

#### Question 9 9. If the market price of a product is above the equilibrium price, the quantity supplied is _____ the quantity demanded.

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Question 10
10.
Find the maximum value of the parabola using the following equation:

f(x)=-x^2+4x+3

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#### Question 11 11. Jonathan enjoys gardening. The east side of his house is 45 units in length. He can put 30 flowers along the length of the east side of his house. Each flower is 1.5 units in length. Assuming that the west side of his house is the same length as the east side, how many flowers can he put along wall B?

#### Question 12 12. All of the sides of the square are the same length. Use this information to solve for y.

#### Question 13 13. The length and steepness of a line that shows the rate of change between two values is called the _____.

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Question 14
14.
What is the best equation for the following scenario?

A mountain climber starts at the bottom of a mountain and climbs at a rate of 20 feet per hour. What equation represents his rate of climbing?

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Question 15
15.
Find the minimum value of the parabola using the following equation:

f(x)=1/4(x+4)^2 +3

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Question 16
16.
Find the breakeven point of the following functions:

C(x)= 4x +4

R(x) = 6x

#### Question 17 17. In marketing, the _____ represents the point where products neither make a profit nor incur a loss.

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Question 18
18.
What is the correct equation for the following scenario?

Alex wants to figure out how much money she will make at the end of the week. She is making $12.50 an hour plus a $20 bonus.

#### Question 19 19. The y-coordinate of the vertex of a parabola that opens up is called the _____.

#### Question 20 20. What type of graph is this?

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Question 21
21.
Which scenario is the best fit for the linear equation?

y=200x +1200

#### Question 22 22. Solve for x using the image as a reference. The perimeter of the triangle is 36 units.

#### Question 23 23. Savanna needs to pick up gift bags for a party. She wants gift bags of different shapes, but they must be the same perimeter. She found a bag that is a pink rectangle with a perimeter of 16. Which of the following shapes have the same perimeter as the pink rectangle?

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Question 24
24.
Find the breakeven point of the following functions:

C(x) = 5x - 7

R(x) = 2x

#### Question 25 25. Which Law states that the quantity demanded will increase as the price of the product decreases?

#### Mathematical Modeling in Trigonometry: Help and Review Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!