Answers Grade 7 MathematicsProportional Relationships

Proportional Relationships — Test Answers

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What does point cap b represent on the graph? John’s Earnings Hours Worked Money 1 7 point 0 0 dollars 2 14 point 0 0 dollars 3 21 point 0 0 dollars

John earns 7 point 0 0 dollars for four hours of work.

John earns 14 point 0 0 dollars each hour.

John earns 7 point 0 0 dollars for two hours of work.

John earns 14 point 0 0 dollars for two hours of work.

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Which explains whether or not Mika has described a proportional relationship, and why?

Mika has described a proportional relationship because the line does not pass through the origin.

Mika has not described a proportional relationship. Although it passes through the origin, it is not a linear relationship.

Mika has described a proportional relationship because the ordered pairs are linear and the line passes through the origin.

Mika has not described a proportional relationship. Although it is a linear relationship, it does not pass through the origin.

Antonio jogs 2 laps every 5 minutes. Which point represents this relationship?

If she does not want any leftovers, which point should Mrs. Penney use to determine the amount of blueberries she will need to make her muffins?

A recipe uses 3 eggs for every 8 cups of flour. What is the ratio of eggs to flour in the recipe?

3 to 11

ratio of 8 to 3

3 eighths

8 to 3

Simon is trying to figure out how much it will cost to buy 30 cases of water for a school picnic. How much will Simon pay for 30 cases of water? Water Prices by the Case Number of cases Price in dollars 15 66 point 0 0 20 88 point 0 0 35 154 point 0 0

121 point 0 0 dollars

119 point 0 0 dollars

132 point 0 0 dollars

99 point 0 0 dollars

Which table represents the same proportional relationship as the graph?

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '0'; Column 2, '0' Row 3: Column 1, '3'; Column 2, '4' Row 4: Column 1, '6'; Column 2, '8' Row 5: Column 1, '9'; Column 2, '12'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '0'; Column 2, '0 point 7 5' Row 3: Column 1, '4'; Column 2, '3' Row 4: Column 1, '8'; Column 2, '6' Row 5: Column 1, '12'; Column 2, '9'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '0'; Column 2, '1 point 3 3' Row 3: Column 1, '3'; Column 2, '4' Row 4: Column 1, '6'; Column 2, '8' Row 5: Column 1, '9'; Column 2, '12'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '0'; Column 2, '0' Row 3: Column 1, '4'; Column 2, '3' Row 4: Column 1, '8'; Column 2, '6' Row 5: Column 1, '12'; Column 2, '9'

Tara reads at a rate of 15 pages per day. Which table represents this relationship? Table A Number of Days Number of Pages 1 15 2 30 3 45 Table B Number of Days Number of Pages 15 1 30 2 45 3 Table C Number of Days Number of Pages 1 15 2 25 3 35 Table D Number of Days Number of Pages 15 1 25 2 25 3

Table D

Table B

Table C

Table A

Organic milk costs 2 point 5 2 dollars per half gallon. At this rate, how can the price of 4 gallons of organic milk be determined?

by dividing 2 point 5 2 dollars by 4

by finding the unit price and multiplying it by 4

by multiplying 2 point 5 2 dollars by 4

by finding the unit price and dividing it by 4

At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?

ratio of 2 to 3

5 thirds

3 to 2

3 to 5

On Monday, the Dairy Barn sold 14 waffle cones for every 6 sugar cones. On Tuesday, the Dairy Barn sold 7 waffle cones for every 3 sugar cones. Which proportion can be used to represent the cone sales?

3 sevenths is equal to 14 sixths

14 sixths is equal to 7 thirds

14 sixths is equal to 3 sevenths

6 over 14 is equal to 7 thirds

Which table represents the same proportional relationship as the equation y is equal to 36 x ?

Table with 5 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, '0 point 5'; Column 3, '2'; Column 4, '3'; Column 5, '6' Row 2: Column 1, 'y'; Column 2, '18'; Column 3, '72'; Column 4, '108'; Column 5, '216'

Table with 5 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, '0 point 5'; Column 3, '2'; Column 4, '3'; Column 5, '6' Row 2: Column 1, 'y'; Column 2, '36 point 5'; Column 3, '38'; Column 4, '39'; Column 5, '42'

Table with 5 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, '0 point 5'; Column 3, '2'; Column 4, '3'; Column 5, '6' Row 2: Column 1, 'y'; Column 2, '36'; Column 3, '36'; Column 4, '36'; Column 5, '36'

Table with 5 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, '0 point 5'; Column 3, '2'; Column 4, '3'; Column 5, '6' Row 2: Column 1, 'y'; Column 2, '64'; Column 3, '18'; Column 4, '12'; Column 5, '6'

The unchanging value of the ratio between two proportional quantities is

the constant of proportionality.

the x -value of an ordered pair.

the constant rate.

the y -value of an ordered pair.

Why is “3 meals a day” a unit rate?

It compares 1 meal to 3 days.

It compares 3 meals to 1 day.

It compares 1 meal to 1 day.

It compares 3 meals to 3 days.

Based on the table, what is the unit rate for one gallon of gasoline? Gasoline Number of gallons Price 2 6 point 6 0 dollars 3 9 point 9 0 dollars 4 13 point 2 0 dollars

5 point 6 0 dollars

6 point 5 0 dollars

4 point 6 0 dollars

3 point 3 0 dollars

Meg skateboards 1 fourth of a mile in 1 half of an hour. At this rate, how far will she skateboard in an hour?

1 eighth of a mile

1 half of a mile

1 fourth of a mile

3 fourths of a mile

Which equation represents a proportional relationship that has a constant of proportionality equal to negative 10 ?

y is equal to negative 10

y is equal to x over negative 10

y is equal to x minus 10

y is equal to negative 10 x

Which table of ordered pairs represents a proportional relationship?

Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 3'; Column 2, '5' Row 3: Column 1, 'negative 5'; Column 2, '3' Row 4: Column 1, 'negative 7'; Column 2, '1'

Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 4'; Column 2, 'negative 8' Row 3: Column 1, 'negative 6'; Column 2, 'negative 12' Row 4: Column 1, 'negative 8'; Column 2, 'negative 18'

Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 3'; Column 2, '12' Row 3: Column 1, 'negative 6'; Column 2, '24' Row 4: Column 1, 'negative 9'; Column 2, '36'

Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 2'; Column 2, '4' Row 3: Column 1, 'negative 4'; Column 2, '16' Row 4: Column 1, 'negative 6'; Column 2, '36'

If there are 5 apples to every 3 oranges in a bin, which graph represents the proportional relationship of the fruit in the bin?

Image with description First quadrant graph. The x axis is labeled Apples and goes from 0 to 12 by 1s. The y axis is labeled Oranges and goes from 0 to 12 by 1s. Points are plotted at (8 comma 3) and (16 comma 6).

Image with description First quadrant graph. The x axis is labeled Apples and goes from 0 to 12 by 1s. The y axis is labeled Oranges and goes from 0 to 12 by 1s. Points are plotted at (3 comma 5) and (6 comma10).

Image with description First quadrant graph. The x axis is labeled Apples and goes from 0 to 12 by 1s. The y axis is labeled Oranges and goes from 0 to 12 by 1s. Points are plotted at (5 comma 3) and (10 comma 6).

Image with description First quadrant graph. The x axis is labeled Apples and goes from 0 to 12 by 1s. The y axis is labeled Oranges and goes from 0 to 12 by 1s. Points are plotted at (4 comma 3) and (8 comma 6).

Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description?

40 thirds is equal to 120 over 1

1 over 40 is equal to 120 thirds

3 over 40 is equal to 1 over 120

40 over 1 is equal to 120 thirds

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