Linear Relationships Review

Each relation shown defines y as a function of x. Which function has the greatest rate of change?

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which function is represented by this table?

• y = 10x

• y = x + 10

• y = 11x

• y = x - 11

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

• Denny is right because the function y=2x is linear as it can be graphed as a straight line.
• Odette is right because the function y=2x is nonlinear as it cannot be graphed as a straight line.
• Both are right because the function y=2x can be both linear and nonlinear.
• Both are wrong because the function y=2x is neither linear nor nonlinear.

Tags

CCSS.8.F.A.3

Does the set of ordered pairs { (1, 1) , (2, 1), (3, 3) , (4, 3) , (5, 3) } define a function?

• Yes, because each input has only one output.

• No, because two different x-values are paired with 1.

• No, because 3 is paired with 3 different y-values.

• No, because 1 is paired with itself.

Tags

CCSS.8.F.A.1

• The initial height of the icicle is 3 inches.

• It takes 3 hours for the icicle to melt completely.

• The height of the icicle is 16 units at the start and decreases by 3 units every hour.
• It takes 24 hours for the icicle to melt completely.

Tags

CCSS.HSF.LE.B.5

Look at the linear equation graphed. If x = 16, what value of y is a solution to this equation?

• y = 32

• y = -3

• y = 16

• y = 8

Tags

CCSS.HSF.IF.A.2

Which equation represents the line shown in the graph?

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Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

The graph represents a linear function. Which equation is represented by this graph?

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Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The graph shows a linear relationship that represents the cost of renting a motorized bicycle based on the number of hours for which the motorized bicycle is rented. Which of these is true?

• If the motorized bicycle was rented for a total of 10 hours, the cost would be $200.

• There is a base cost of $40 to rent the motorized bicycle.

• If the rental agency gave a discount of $5 off the hourly rate, the cost to rent the motorized bicycle for 7 hours would be $155.

• The hourly rate to rent the motorized bicycle is equivalent to the base cost to rent.

Tags

CCSS.HSF.LE.B.5

When South View Middle School opened in 2010, there were 90 faculty members. In 2012, there were 94 faculty members. Which function models this situation and why?

• y = -2x + 90; because the initial value of the function should be 90 and the rate of change should be -2.

• y = 2x - 90; because the rate of change should be -90 and the initial value should be 2.

• y = 2x + 90; because the initial value of the function should be 90 and the rate of change should be 2.

• y = -2x - 90; because the rate of change should be -90 and the initial should be -2.

Tags

CCSS.HSF-BF.A.1A