# Mathematical Modeling in Trigonometry: Tutoring Solution 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. What type of graph is this?

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Question 2
2.
Which scenario is the best fit for the linear equation?

y=200x +1200

#### Question 3 3. The length and steepness of a line that shows the rate of change between two values is called the _____.

#### Question 4 4. Which Law states that the quantity demanded will increase as the price of the product decreases?

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Question 5
5.
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 6
6.
Find the minimum value of the parabola using the following equation:

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

#### Question 7 7. If the market price of a product is above the equilibrium price, the quantity supplied is _____ the quantity demanded.

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Question 8
8.
Find the market equilibrium point for the following equations:

Supply: .10x + 5

Demand: -.15x + 10

#### Question 9 9. Solve for x using the image as a reference. The perimeter of the triangle is 36 units.

#### Question 10 10. Supply function is defined as _____.

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Question 11
11.
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 12 12. All of the sides of the square are the same length. Use this information to solve for y.

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Question 13
13.
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 14
14.
Find the breakeven point of the following functions:

C(x) = 5x - 7

R(x) = 2x

#### Question 15 15. The y-coordinate of the vertex of a parabola that opens up is called the _____.

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#### Question 16 16. The y-coordinate of the vertex of a parabola that opens down is called the _____.

#### Question 17 17. The _____ is the linear function which represents the seller's cost of a product.

#### Question 18 18. 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?

#### Question 19 19. 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 20
20.
Find the breakeven point of the following functions:

C(x)= 4x +4

R(x) = 6x

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Question 21
21.
Find the breakeven point of the following functions:

C(x) = 2x + 1

R(x) = 3x

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Question 22
22.
Which scenario best fits the linear equation?

y=-2x + 5

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Question 23
23.
Find the maximum value of the parabola using the following equation:

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

#### Question 24 24. In marketing, the _____ represents the point where products neither make a profit nor incur a loss.

#### Question 25 25. 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?

#### Mathematical Modeling in Trigonometry: Tutoring Solution 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!