AnswersWI-Mathematics Grade 8 AGraphing in a Variety of Contexts

Graphing in a Variety of Contexts — Unit test Answers

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1
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The table below represents the amount of money in Sylvester’s bank account as a function of the number of years since he opened the account. Does this situation represent a linear or non-linear function, and why?Amount of Money in Sylvester’s Bank AccountYearsAmount of Money (dollars)150021,00041,50082,000162,500

I
It represents a linear function because there is a constant rate of change.
I
It represents a linear function because there is not a constant rate of change.
I
It represents a non-linear function because there is a constant rate of change.
I
It represents a non-linear function because there is not a constant rate of change.
2
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Sung-Hi is filling a sandbox with sand at the rate shown in the table below. Which statement must be true regarding the linear function that represents this situation?Amount of Sand in the SandboxNumber of Minutes Since Sung-Hi Started01234Amount of Sand in the Sandbox (pounds)200220240260280

T
The initial value must be 0 pounds.
T
The initial value must be 20 pounds.
T
The rate of change must be 0 pounds per minute.
T
The rate of change must be 20 pounds per minute.
3

Wilson began watering his garden with a watering can that was completely full. The amount of water in the can as Wilson was watering can be represented by a linear function and is shown in the graph below. Which statement is correct?

Question illustration
A
The amount of water originally in Wilson’s can was 0 gallons.
B
The amount of water originally in Wilson’s can was 2.5 gallons.
C
Wilson is watering his garden at a rate of 0 gallons per second.
D
Wilson is watering his garden at a rate of 2.5 gallons per second.
4

A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?

Question illustration
–
–6
–
–1
1
1
6
6
5

Nate went on a trip, and he used a table of values to repeatedly record the time he had been traveling and the distance from his starting point. The function represented by the table of values is linear, and the rate of change is 50 miles per hour. What is one way for Nate to determine the initial value?

A
By repeatedly adding 50.
B
By repeatedly subtracting 50.
C
By repeatedly multiplying by 50.
D
By repeatedly dividing by 50.
6

The table of values below represents a linear function and shows the height of a tree since it was transplanted. What was the height of the tree when it was transplanted?Height of a Tree Since It Was TransplantedYears Since the Tree Was Transplanted44.555.56Height (feet)1213141516

1
1 foot
2
2 feet
4
4 feet
8
8 feet
7

Which answer explains whether the table of values represents a function?xy–4–5–22031–7–6–9

A
Yes, the values represent a function because each x-value is paired with only one y-value.
B
Yes, the values represent a function because each y-value is paired with only one x-value.
C
No, the values do not represent a function because the x-values are not in ascending order.
D
No, the values do not represent a function because there is no single rule that relates each pair of values.
8

Harold wrote this equation to model the level of water in a pool over time. The variable x represents time in hours.Which statements about the situation are true? Check all that apply.

Question illustration
T
The water level is rising.
T
The water level is falling.
T
The initial level of water in the pool was 3,500 units.
T
The initial level of water in the pool was 225 units.
T
The pool was empty after 14 hours.
T
The water was 2,600 units high after 4 hours.
9

For spring cleanups, a landscaper charges a flat fee of $60 plus $20 for each hour of labor. Which equation models the cost in dollars, c, for a cleanup that requires h hours of labor?

A
c = StartFraction h Over 20 EndFraction + 60
Option A
B
c = StartFraction 20 Over h EndFraction + 60
Option B
C
c = 20 h + 60
Option C
D
c = 20 + 60 h
Option D
10

best

I
It is a function because there is a price given for every package.
I
It is a function because weekend packages are always $50 more than weekday packages.
I
It is not a function because each package number has two different prices.
I
It is not a function because there are two different packages available for $180.
11

Which relation is a function of x?

Question illustration
{
{(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)}
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

A line passes through the points (–2, –8) and (–4, –8). Which shows the graph of this line?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

A function is defined by . What is f(10)?

Question illustration
1
11
1
14
3
31
3
311
15

Which equation represents the line that passes through points (0, 6) and (2, 0)?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
16

Jodi is considering taking online classes at two websites, LearnCenter and EduWorld. Each site requires that students pay a base membership fee, plus they charge a rate per class. The two graphs show the cost for taking online classes through the two websites.Which statement best describes the functions that model the costs to take classes at each site?

Question illustration
A
LearnCenter charges a higher membership fee and a higher rate per class.
B
LearnCenter charges a higher membership fee but a lower rate per class.
C
LearnCenter charges a lower membership fee but a higher rate per class.
D
LearnCenter charges a lower membership fee and a lower rate per class.
17

Is the function in the graph non-linear?

Question illustration
Y
Yes, because it has a constant rate of change.
Y
Yes, because it does not have a constant rate of change.
N
No, because it has a constant rate of change.
N
No, because it does not have a constant rate of change.
18

Jill converted the equation of the line into slope-intercept form and found the slope and y-intercept of the line as follows.What was her mistake?

Question illustration
A
She mixed up the slope and the y-intercept.
B
She got the sign of the slope wrong.
C
She got the sign of the y-intercept wrong.
D
She found the reciprocals of the slope and the y-intercept.
19

A function is defined by . What is f(2.5)?

Question illustration
2
2.5
1
13.5
1
15.0
1
16.5
20

Which linear function has the same y-intercept as the one that is represented by the graph?

Question illustration
A
y = 2 x minus 4
Option A
B
y = 2 x minus 3
Option B
C
y = 2 x + 3
Option C
D
y = 2 x + 4
Option D
21

What can be concluded about a line that passes through the points and ? Check all that apply.

Question illustration
T
The slope is 0.
T
The y-intercept is .
Option T
T
The line is vertical.
T
The line is horizontal.
T
The line has no y-intercept.
T
The equation of the line is .
Option T

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