Unit 3 Linear Relationships Review

During an experiment, the temperature of a substance increased at a constant rate of three degrees Celsius per hour. Which graph represents this relationship?

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Tags

CCSS.8.EE.B.5

The graph shows the relationship between the distances run and the time for three people in a 100-yard race.

The relationships between the distance run and the time for Kofi can be represented by the equation y = 15.55x, where he ran y yards in x seconds. Which two equations could be used to represent this relationship for Bella and Elsie?

• Bella: y = 15.15x; Elsie: y = 15.85x

• Bella: y = 15.85x; Elsie: y = 15.65x

• Bella: y = 15.45x; Elsie: y = 15.15x

• Bella: y = 15.85x; Elsie: y = 15.15x

Tags

CCSS.8.EE.B.5

Two friends work at different companies, P and S. Both companies use the number of hours that an employee works to calculate that employee's vacation hours. The relationship between the number of hours worked and the number of vacation hours for employees at each company is shown in the table and graph, respectively.

Which statement describes the difference in each friend's vacation hours if both work 2,080 hours?

• The friend at company S will have about 42 more vacation hours than the friend at company P.

• The friend at company S will have about 46 more vacation hours than the friend at company P.

• The friend at company P will have about eight more vacation hours than the friend at company S.

• The friend at company P will have about nine more vacation hours than the friend at company S.

Tags

CCSS.8.EE.B.5

A cook uses 2.5 cups of flour for each ounce of butter in a recipe. Which graph represents the relationship between the amount of flour and the amount of butter in the recipe?

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Tags

CCSS.8.EE.B.5

The graphs show the relationship between elapsed time and distance traveled by airplane A and airplane B after each airplane reaches its cruising speed.

Airplane C is traveling at a different cruising speed. The equation  $y\ =\ \frac{27}{6}x$  can be used to determine y, the number of miles traveled by airplane C in x minutes. Which statement accurately compares the cruising speed of airplane C to airplanes A and B?

• The cruising speed of airplane C is less than the cruising speeds of both airplanes A and B.

• The cruising speed of airplane C is greater than the cruising speeds of both airplanes A and B.

• The cruising speed of airplane C is greater than the cruising speed of airplane A and less than the cruising speed of airplane B.

• The cruising speed of airplane C is less than the cruising speed of airplane A and greater than the cruising speed of airplane B.

Tags

CCSS.8.EE.B.5

A radar device has an antenna that revolves at a constant rate. The graph shows the number of revolutions the device will make over time.

Which table shows the data for an antenna that revolves at exactly twice the rate of the antenna described in the graph?

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Tags

CCSS.HSF-LE.A.1B

Kevin and Christy both saved money for their class trip. Kevin saved the same amount each week. The total amount that Kevin saved at the end of every two weeks is shown in the table.

Christy's savings can be modeled by the equation y = 26x, where y is the total amount of money saved in x weeks. Which statement correctly compares the rates at which Kevin and Christy saved money?

• Christy saved $3 per week more than Kevin.

• Kevin saved $10 per week more than Christy.

• Christy saved $18 per week more than Kevin.

• Kevin saved $20 per week more than Christy.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which proportional relationship has the greatest rate of change?

• y = 7x

• The value of y increases by 12 for every increase of 4 in the value of x.

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Tags

CCSS.HSF-LE.A.1B

A line contains the points (4, 2) and (0, -1). What is the equation of the line?

• $y\ =\ 2x\ -\ 6$
  

• $y\ =\ \frac{3}{4}x\ -\ 1$

• $y\ =\ \frac{1}{4}x\ +\ 1$

• $y\ =\ \frac{4}{3}x\ -\ \frac{10}{3}$

what is the equation of the line that passes through point (4.12) and has a y-intercept of -2?

• $y\ =\ \frac{5}{2}x\ -2$

• $y\ =\ \frac{7}{2}x\ -\ 2$

• $y\ =\ 2x-2$

• $y\ =\ 6x\ -\ 2$