Quiz about Linear Relationships Review

Question 1

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

Accepted Answer

Question 2

Which function is represented by this table?

Accepted Answer

y = x - 11

Answer

y = 10x

Answer

y = x + 10

Answer

y = 11x

Question 3

Denny believes that the function $$y=2x$$ is linear, while Odette believes that it is nonlinear. Who is right and why?

Accepted Answer

Denny is right because the function y=2x is linear as it can be graphed as a straight line.

Answer

Odette is right because the function y=2x is nonlinear as it cannot be graphed as a straight line.

Answer

Both are right because the function y=2x can be both linear and nonlinear.

Answer

Both are wrong because the function y=2x is neither linear nor nonlinear.

Question 4

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

Accepted Answer

Yes, because each input has only one output.

Answer

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

Answer

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

Answer

No, because 1 is paired with itself.

Question 5

Heather left her sprinklers on overnight when the temperature was below freezing. A large icicle was hanging from a tree. When the sun came up, the icicle began to melt. The height of the icicle can be represented by the function $$h\left(t\right)=-3t+16$$ , as shown on the graph.

Which of the following statements is a correct interpretation of the function representing the height of the sculpture?

Accepted Answer

The height of the icicle is 16 units at the start and decreases by 3 units every hour.

Answer

The initial height of the icicle is 3 inches.

Answer

It takes 3 hours for the icicle to melt completely.

Answer

It takes 24 hours for the icicle to melt completely.

Question 6

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

Accepted Answer

y = -3

Answer

y = 32

Answer

y = 16

Answer

y = 8

Question 7

Which equation represents the line shown in the graph?

Accepted Answer

Question 8

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

Accepted Answer

Question 9

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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.

Question 10

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 11

Which coordinate plane represents the linear relationship $$2x-4y=-8$$ ?

Accepted Answer

Question 12

Identify the Domain of the function.

Accepted Answer

$$0<x\le5$$

Answer

$$-1<x\le4$$

Answer

$$0\le x<5$$

Answer

$$-1\le x<4$$

Question 13

Identify the Range of the function.

Accepted Answer

$$-1\le y<4$$

Answer

$$0<y\le5$$

Answer

$$-1<y\le4$$

Answer

$$0\le y<5$$

Linear Relationships Review

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