2000-2008 Public Release Items CLG 3.2.2
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18.
The graph below relates the length and weight of fish found in LakeOpinicon.Using the curve of best fit, what would be the expected weight of a fish that is 14.5 inches long?
F / 1.5 pounds
G / 1.7 pounds
H / 1.8 pounds
J / 1.9 pounds
2004
28.
Students in a nutrition class decide to sell orange juice at their school's next sports event. To determine the price, the students record prices of orange juice from various stores in their city. The table below shows the price of different-sized bottles of juice.
Complete the following in the Answer Book:
- Write an equation for a line of best fit. (If you choose to draw a graph, use the grid provided in the Answer Book.)
- What is the slope of your equation? What does the slope mean in the context of this problem?
- The students are selling 8-ounce bottles of orange juice. According to your line of best fit, what is the price of an 8-ounce bottle of juice? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.
2004
The graph below models the relationship between light intensity and the distance from a light source.
Which of these is the best estimate of the intensity, in milliwatts per square centimeter, of light 2 meters from the source?
A / 0.015
B / 0.181
C / 1.520
D / 1.720
2005
A tire company wants to determine how quickly the tread on its tires wears down with average use. Let x represent the number of months the tire was used. Let y represent the thickness of the tire tread, in millimeters. An equation for a line of best fit is shown below.
y= -5/9x + 20
Complete the following in the Answer Book:
- What is the slope of this line of best fit? What does the slope mean in the context of this problem?
- What is the y-intercept of this line of best fit? What does the y-intercept mean in the context of this problem?
- Tina will need to replace her new tires when they have 5 millimeters of tire tread left. According to the line of best fit, for how many months can Tina drive before she needs to replace her tires? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.
2005
The graph below shows the percentage of television-owning households with cable television. The line of best fit is drawn.
Using the line of best fit, what percentage of television-owning households can be expected to have cable television in the year 2000?
- 69%
- 71%
- 72%
- 73%
2006
Erin used the equation below to model the price (y) of postage stamps, in cents, between 1950 and 1995. In Erin's model, x represents the number of years since 1950.
y = 0.014x² + 0.09x + 1.28
The graph below models the price of postage stamps, in cents, between 1950 and 1995.
Complete the following in the Answer Book:
- According to the model, when was the price of a postage stamp 29¢? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.
- According to the model, what was the cost of postage stamps in 1970? Express your answer to the nearest cent. Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.
2006
The table below shows the relationship between the average temperature in March and the date in April when the cherry trees bloom in Washington, D.C.
Complete the following in the Answer Book:
(If you choose to draw a graph to help write the equation, use the grid provided in the Answer Book.)
- Write an equation of a line of best fit for the data.
- According to your equation, what would be the date in April of the bloom if the average March temperature were 3.5°C? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.
- Suppose the average March temperature is 14°C. Is it appropriate to use your equation to predict the date in April when the cherry trees will bloom in Washington, D.C.? Use mathematics to justify your answer.
2006
2002
The graph below shows the height of a ball in one-second intervals. The curve of best fit has been drawn.
Complete the following in the Answer Book:
- According to the curve of best fit, what is the height of the ball at 4.5 seconds? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.
- According to the curve of best fit, when will the ball be at a height of 100 feet? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.
2007
The table below shows the age and the value of a computer.
Complete the following in the Answer Book:
- Write an equation for a line of best fit. (If you choose to draw a graph to help you write the equation, use the grid provided in the Answer Book.)
- What is the slope of your equation? What does the slope represent in the context of this problem?
- What is the age of the computer when its value is $300? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.
- Will your equation remain a good model to predict the value of a computer when it is 6 years old? Use mathematics to justify your answer.
2007
The scatter plot below shows the relationship between the age and value of Judy's car. A curve of best fit has been drawn.
According to the curve of best fit, how much would Judy's car have decreased in value when the car is 6 years old?
- $4,000
- $6,000
- $16,000
- $20,000
2007
The table below shows a company’s annual income over 5 years. The equation y = 100,000(2)x describes the curve of best fit for the company’s annual income (y). Let x represent the number of years since 1996.
Using this equation, what would be the company’s annual income in the year 2003?
- $3,200,000
- $4,000,000
- $6,400,000
- $12,800,000
/share/clg/xml/public_release
2008
The table below shows the population of a small town from 1960 to 1990.
Complete the following in the Answer Book:
- Write an equation for a line of best fit. Let x represent the years since 1960. Let y represent the population of the town. (If you choose to draw a graph to help you write the equation, use the grid provided in the Answer Book.)
- What is the slope of your equation? What does the slope represent in the context of this problem?
- Using your equation, estimate the population in the year 1995. Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.
- Is your equation a good model to predict the population of this town in the year 2025? Use mathematics to justify your answer.
2008
© Maryland State Department of Education 2007
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