AnswersGA-8th Grade MathematicsTables, Graphs, and Equations

Tables, Graphs, and Equations Answers

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An animal shelter estimates that it costs about $6 per day to care for each dog. If y represents the total cost of caring for a single dog for x days, which table models the situation?

A
A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 15, 18. Column 2 is labeled y with entries 6, 9, 12.
Option A
B
A 2-column table with 3 rows. Column 1 is labeled x with entries 6, 9, 12. Column 2 is labeled y with entries 12, 15, 18.
Option B
C
A 2-column table with 3 rows. Column 1 is labeled x with entries 36, 54, 72. Column 2 is labeled y with entries 6, 9, 12.
Option C
D
A 2-column table with 3 rows. Column 1 is labeled x with entries 6, 9, 12. Column 2 is labeled y with entries 36, 54, 72.
Option D
2
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The table shows the side lengths and perimeters of four squares.Side Length (x)Perimeter (y)4.5188.53410.254113.7555Which equation represents the relationship between the side length, x, and the perimeter, y?

A
y = one-fourth x
Option A
B
y = 4x
C
y = x + 13.5
D
y = x – 13.5
3

Each time Kristine gets paid, she spends $20 and saves the rest. If the amount Kristine earns is represented by x and the amount she saves is represented by y, which graph models her savings?

A
A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (5, 100) and (10, 200).
Option A
B
A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (20, 1) and (40, 2).
Option B
C
A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (0, 20) and (10, 30).
Option C
D
A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (20, 0) and (25, 5).
Option D
4

Which table of values corresponds to the graph below?

Question illustration
A
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 2. Column 2 is labeled y with entries 0, 1, 2, 4.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 1, 2, 4. Column 2 is labeled y with entries negative 2, negative 1, 2.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 1, 4. Column 2 is labeled y with entries 0, 2, negative 1, 2.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 2, 4. Column 2 is labeled y with entries 1, negative 2, 0, 2.
Option D
5

Kelly and Greta are asked to write an equation for the scenario below. “One person was able to plant 4 trees in the same amount of time that 5 people working together were able to plant 20 trees.”The girls agree that x represents the number of people working and y represents the number of trees planted. Kelly wrote the equation , and Greta wrote the equation . Which person is correct, and why?

Question illustration
A
Kelly is correct; each person plants more trees than the person before them.
Option A
B
Kelly is correct; and .
Option B
C
Greta is correct; each person plants 4 more trees than the person before them.
D
Greta is correct; and .
Option D
6

Four representations of the same data are shown below.Verbal DescriptionShay pays a $4 monthly fee in addition to the data and minutes charges on her cell phone bill, x.Equationy = x + 4TableGraphCell Phone BillWhich two representations are considered to be only partial representations?

Question illustration
A
the equation and the verbal description
B
the verbal description and the graph
C
the table and the equation
D
the graph and the table
7

The relationship between miles and kilometers is shown in the table below. MilesKilometers18.229.1229.547.2034.154.5652.884.48How many miles are in 19.08 kilometers?

A
11.925
B
17.48
C
20.68
D
30.528
8

The table below shows the amount that must be repaid, y, when x dollars are borrowed. Amount BorrowedAmount Repaid$100$135$200$260$500$635$800$1,010Which equation represents the relationship?

A
y = StartFraction 5 Over 4 EndFraction x
Option A
B
y = StartFraction 4 Over 5 EndFraction x
Option B
C
y = StartFraction 5 Over 4 EndFraction x + 10
Option C
D
y = StartFraction 4 Over 5 EndFraction x + 55
Option D
9

Micah sketches the graph below to represent a scenario his teacher gave him.Which scenario could Micah’s graph represent?

Question illustration
A
Micah’s plant is 1 inch and then grows at a rate of 2 inches per week (where x is the number of weeks), for a total of y inches.
B
Micah’s plant is 2 inches tall and grows at a rate of 1 inch per week (where x is the number of weeks), for a total of y inches.
C
Micah’s plant grows 2 inches per week (where x is the number of weeks) and has a starting height of 1 inch, for a total of y inches.
D
Micah’s plant grows 1 inch per week (where x is the number of weeks) and has a starting height of 1 inch, for a total of y inches.
10

The table below shows the relationship between the approximate number of hours and the corresponding number of days on Saturn.SaturnHoursDays25354055What is the approximate number of hours in 72 days on Saturn?

Question illustration
A
603 and two-thirds
Option A
B
658 and two-thirds
Option B
C
743
D
768

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