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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Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

CCSS.HSF.IF.C.7

Which function is represented by this table?

• y = 10x

• y = x + 10

• y = 11x

• y = x - 11

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

• 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.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

Shannon has a summer job working as a lifeguard at the community pool. The graph shows the relationship between the number of hours Shannon worked and the amount of money, in dollars, that Shannon earned. Select the equation that represents the amount of money, m, in dollars, that Shannon earned by working h hours.

• m = 10h

• m = 15h

• m = 11h

• m = 7h

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7

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.HSF.IF.A.1

In the gardening club, 125 people are voting on the club's president. There are two candidates, Beatrice and Rick. Let x represent the number of people who vote for Beatrice, and f(x) represent the percentage in decimal form of the total number of voters who vote for Rick.

Use the drop-down menus to choose the response that makes the statement true.

The domain of the function is ​ (a)   .

The range of the function can best be described as ​ (b)   .

• all integers from 0 to 125
• all real numbers
• all decimal numbers in thousandths, from 0 to 1

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

• 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.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.C.7

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.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.10

Which equation represents the line shown in the graph?

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Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

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Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7