AnswersMathematics 8Tables, Graphs, and Equations

Tables, Graphs, and Equations — Quiz Answers

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1
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Some states pay 0 point 0 5 dollars for each can that is recycled. Which graph represents the amount of money earned, y , by recycling x cans in these states?

A
Image with description Line graph titled Recycling Money. The horizontal axis is labeled Cans and the vertical axis is labeled Dollars. The x-axis ranges from 0 to 10 in increments of 2. The visible x-axis labels are 2, 4, 6, 8, and 10. The y-axis ranges from 0 to 10 in increments of 2. The visible y-axis labels are 2, 4, 6, 8, and 10. A line with an arrow begins at (5 comma 0) and passes through approximately (6 comma 1), (8 comma 3), and (10 comma 5).
B
Image with description Line graph titled Recycling Money. The horizontal axis is labeled Cans and the vertical axis is labeled Dollars. The x-axis ranges from 0 to 200 in increments of 40. The visible x-axis labels are 40, 80, 120, 160, and 200. The y-axis ranges from 0 to 10 in increments of 2. The visible y-axis labels are 2, 4, 6, 8, and 10. A line with an arrow begins at (0 comma 0) and passes through (40 comma 2), (80 comma 4), (120 comma 6), (160 comma 8), and (200 comma 10).
C
Image with description Line graph titled Recycling Money. The horizontal axis is labeled Cans and the vertical axis is labeled Dollars. The x-axis ranges from 0 to 10 in increments of 2. The visible x-axis labels are 2, 4, 6, 8, and 10. The y-axis ranges from 0 to 200 in increments of 40. The visible y-axis labels are 40, 80, 120, 160, and 200. A line with an arrow begins at (0 comma 0) and passes through (2 comma 40), (4 comma 80), (6 comma 120), (8 comma 160), and (10 comma 200).
D
Image with description Line graph titled Recycling Money. The horizontal axis is labeled Cans and the vertical axis is labeled Dollars. The x-axis ranges from 0 to 10 in increments of 2. The visible x-axis labels are 2, 4, 6, 8, and 10. The y-axis ranges from 0 to 10 in increments of 2. The visible y-axis labels are 2, 4, 6, 8, and 10. A line with an arrow begins at (0 comma 5) and passes through (2 comma 7) and (4 comma 9) before continuing upward to the right.
5

Kelly and Greta are asked to write an equation for the given scenario. “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 y is equal to 1 fourth x , and Greta wrote the equation y is equal to 4 x Which person is correct, and why?

A
Kelly is correct; 1 is equal to 1 fourth times 4 and 5 is equal to 1 fourth times 20 .
B
Greta is correct; each person plants 4 more trees than the person before them.
C
Greta is correct; 4 is equal to 4 times 1 and 20 is equal to 4 times 5 .
D
Kelly is correct; each person plants 1 fourth more trees than the person before them.
6

Each time Kristine gets paid, she spends 20 dollars 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
Image with description A Cartesian coordinate graph shows a linear relationship on a grid. The vertical axis is labeled "Money saved" and y, with grid lines every 20 units and labeled values of 20, 40, 60, 80, and 100. The horizontal axis is labeled "Money earned" and x, with grid lines every 10 units and labeled values of 10, 20, 30, 40, and 50. A straight line with an arrowhead at the upper-right end rises from left to right, indicating a constant rate of increase. The line intersects the y-axis at (0,20) and passes through the points (20 comma 40) and (40 comma 60).
B
Image with description A Cartesian coordinate graph shows a linear relationship on a grid. The vertical axis is labeled "Money saved" and y, with grid lines every 100 units and labeled values of 100, 200, 300, 400, and 500. The horizontal axis is labeled "Money earned" and x, with grid lines every 10 units and labeled values of 10, 20, 30, 40, and 50. A straight line with an arrowhead at the upper-right end rises from left to right, indicating a constant rate of increase. The line passes through the origin (0 comma 0) and the points (10 comma 200) and (20 comma 400).
C
Image with description A Cartesian coordinate graph shows a linear relationship on a grid. The vertical axis is labeled "Money saved" and y, with grid lines every 10 units and labeled values of 10, 20, 30, 40, and 50. The horizontal axis is labeled "Money earned" and x, with grid lines every 10 units and labeled values of 10, 20, 30, 40, and 50. A straight line with an arrowhead at the upper-right end rises from left to right, indicating a constant rate of increase. The line intersects the x-axis at (20 comma 0) and passes through the point (50 comma 30).
D
Image with description A Cartesian coordinate graph shows a linear relationship on a grid. The vertical axis is labeled "Money saved" and y, with grid lines every 2 units and labeled values of 2, 4, 6, 8, and 10. The horizontal axis is labeled "Money earned" and x, with grid lines every 10 units and labeled values of 10, 20, 30, 40, and 50. A straight line with an arrowhead at the upper-right end rises from left to right, indicating a constant rate of increase. The line passes through the origin (0 comma 0) and the point (40 comma 2).
8

An animal shelter estimates that it costs about 6 dollars 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
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '12'; Column 2, '6' Row 3: Column 1, '15'; Column 2, '9' Row 4: Column 1, '18'; Column 2, '12'
B
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '6'; Column 2, '36' Row 3: Column 1, '9'; Column 2, '54' Row 4: Column 1, '12'; Column 2, '72'
C
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '6'; Column 2, '12' Row 3: Column 1, '9'; Column 2, '15' Row 4: Column 1, '12'; Column 2, '18'
D
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '36'; Column 2, '6' Row 3: Column 1, '54'; Column 2, '9' Row 4: Column 1, '72'; Column 2, '12'
9

There are 16 tablespoons in one cup. Which table correctly relates the number of cups to the number of tablespoons (tbsp)?

A
Table with 2 columns and 5 rows.Row 1: Column 1, 'cups'; Column 2, 'tbsp' Row 2: Column 1, '16'; Column 2, '1' Row 3: Column 1, '32'; Column 2, '2' Row 4: Column 1, '64'; Column 2, '4' Row 5: Column 1, '128'; Column 2, '8'
B
Table with 2 columns and 5 rows.Row 1: Column 1, 'cups'; Column 2, 'tbsp' Row 2: Column 1, '1'; Column 2, '16' Row 3: Column 1, '2'; Column 2, '32' Row 4: Column 1, '4'; Column 2, '64' Row 5: Column 1, '8'; Column 2, '128'
C
Table with 2 columns and 5 rows.Row 1: Column 1, 'cups'; Column 2, 'tbsp' Row 2: Column 1, '16'; Column 2, '32' Row 3: Column 1, '32'; Column 2, '48' Row 4: Column 1, '64'; Column 2, '80' Row 5: Column 1, '128'; Column 2, '144'
D
Table with 2 columns and 5 rows.Row 1: Column 1, 'cups'; Column 2, 'tbsp' Row 2: Column 1, '32'; Column 2, '16' Row 3: Column 1, '48'; Column 2, '32' Row 4: Column 1, '80'; Column 2, '64' Row 5: Column 1, '144'; Column 2, '128'

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