Quiz about Review Proportional Relationships

Question 1

A bakery sells 5 bagels for $7.50. There is a proportional relationships between the cost and the number of bagels.

Which equation represents the cost in dollars, c, for b bagels?

Accepted Answer

c=1.5b

Answer

c=2.5b

Answer

b=1.5c

Answer

b=2.5c

Question 2

A machine in a factory makes paper clips. The table shows the proportional relationship between the number of paper clips a machine makes and the number of minutes it takes to make the paper clips.

What missing numbers needs to go in the table to show a proportional relationships?

Accepted Answer

8

Accepted Answer

165

Accepted Answer

275

Answer

55

Question 3

Taylor works on an art project that uses only rectangular pieces of paper. The first rectangle has length 3/8 in. and width 3 in.

Determine which dimensions below are proportional to the dimensions of Taylor's first rectangle.

Accepted Answer

Length 1/2 in.; Width 4 in.

Accepted Answer

Length 1 1/8 in.; Width 9 in.

Answer

Length 6 in.; Width 3/4 in.

Answer

Length 3 in.; Width 5 5/8 in.

Question 4

A florist prepares an order of daisies and roses. For every 5 daisies, she orders 2 roses.
What two equations show the relationship between the number of daisies, d, and the number of roses, r?

Accepted Answer

$$r=\frac{2}{5}d$$

Accepted Answer

$$d=\frac{5}{2}r$$

Answer

$$r=\frac{5}{2}d$$

Answer

$$d=\frac{2}{5}r$$

Question 5

The double number line shows the relationship between the distance traveled by a cheetah and the time.

Which statement best explains the meaning of the circled ratio?

Accepted Answer

The cheetal travels 1 1/3 km in 1 min.

Answer

The cheetah travels 1/3 km in 1 min.

Answer

The cheetah travels 1 km in 1/3 min.

Answer

The cheetah travels 1 km in 1 1/3 min.

Question 6

An orchard sells 6 lb. of apples for $13.50. There is a proportional relationship between the cost and the number of apples.

Which equations represents the cost in dollars, c, for p pounds of apples?

Accepted Answer

c=2.25p

Answer

p=7.5c

Answer

p=2.25c

Answer

c=7.5p

Question 7

The table shows the proportional relationship between the number of seats and the number of rows in an auditorium.

Which numbers are missing from the table to show a proportional relationship?

Accepted Answer

7

Accepted Answer

180

Accepted Answer

405

Answer

45

Question 8

Bella reads for 2/3 hour and listens to music for 2 hours.

Determine which number of hours spent reading and listening to music for each person described below are proportional to the number of hours Bella spends reading and listening to music.

Accepted Answer

Paola reads for 1 1/3 hours and listens to music for 4 hours.

Accepted Answer

Jasmine reads for 1/3 hour and listens to music for 1 hour.

Answer

Lee reads for 2 hours and listens to music for 3 1/3 hours.

Answer

Matthew reads for 5 hours and listens to music for 1 2/3 hour.

Question 9

A pizzeria uses 5 oz. of tomato sauce for every 4 oz. of cheese.

What two equations show the relationship between ounces of tomato sauce, x, and ounces of cheese, y?

Accepted Answer

$$x=\frac{5}{4}y$$

Accepted Answer

$$y=\frac{4}{5}x$$

Answer

$$x=\frac{4}{5}y$$

Answer

$$y=\frac{5}{4}x$$

Question 10

The double number line shows the relationship between the total weight in pounds and the number of cans of peaches.

Which statement best explains the meaning of the circled ratio?

Accepted Answer

Each can of peaches weighs 1 1/6 lb.

Answer

Each can of peaches weighs 1/6 lb.

Answer

Each pound equals 1/6 can of peaches.

Answer

Each pound equals 1 1/6 cans of peaches.

Question 11

A camp director reviews the supply of string used for bracelet making. The graph shows the relationship between the number of yards of string used and the number of bracelets made.

What do the two points on the graph mean in terms of the situations.

Accepted Answer

It takes 4 yards of string to make 6 bracelets.

Accepted Answer

It takes 6 yards of string to make 9 bracelets.

Answer

It takes 6 yards of string to make 4 bracelets.

Answer

It takes 9 yards of string to make 6 bracelets.

Question 12

Line a and b are graphed on a coordinate plane.

Select the true statement.

Accepted Answer

Line a passes through the point (1, 5/4) so the constant of proportionality is 5/4.

Answer

Line b represents a proportional relationship.

Answer

The constant of proportionality of y to x for line a is 1/2.

Answer

The ratio of y-coordinate to x-coordinate of one of the points on line b is 25:8.

Question 13

Both lines on the graph represent proportional relationships.

What is the constant of proportionality for each line?

Accepted Answer

Line a=4

Accepted Answer

Line b=2/5

Answer

Line a=1/4

Answer

Line b=5/2

Question 14

Anna mixes purple and pink dye to create lavender. For every 8 tsp. of purple dye, Anna adds 3 tsp. of pink dye.

Which statement about the relationship between the purple dye and the pink dye is true?

Accepted Answer

The ratio of the coordinates of the points on the graph of the relationship are equivalent.

Answer

The graph of the relationship passes through the point (10,5).

Answer

The graph of the relationship is a straight line that does not pass through the origin.

Answer

The constant of proportionality for purple dye to pink dye is 3/8.

Question 15

Mr. Lopez teachers his classes how to make maraca instruments by filling plastic eggshells with dried beans. Mr. Lopez uses the equation p=0.75n to find the number of pounds, p, of beans needed for n classes.

What is the constant of proportionality between p and n?

Accepted Answer

0.75

Answer

0.5

Answer

0.65

Answer

0.85

Question 16

A restaurant owner buys rice in bulk. The graph shows the relationship between the numbers of pounds of rice and the total cost.

What do the two points on the graph mean in terms of the situation?

Accepted Answer

2 lb. of rice cost $5

Accepted Answer

6 lb. of rice cost $15

Answer

5 lb. of rice cost $2

Answer

15 lb. of rice cost $6

Question 17

Determine the true statements about the lines on the graph.

Accepted Answer

Both lines have the same constant of proportionality.

Accepted Answer

The unit rate for each y:x ratio on line a is 4/15.

Answer

The ratio of y- to x-coordinate of every point on the graph of line b is equivalent.

Answer

The constant of proportionality of line b is 7/15.

Question 18

What is the constant of proportionality for each line?

Accepted Answer

Line a=5

Accepted Answer

Line b=2/7

Answer

Line a=1/5

Answer

Line b=7/2

Question 19

Sydney buys a fish tank and some guppies. For every 5 guppies, the tank needs 4 gal. of water.

Which statement about the relationship between the gallons of waters and the number of guppies is true?

Accepted Answer

The graph is a straight line that passes through the origin.

Answer

The point (10,2) lies on the graph.

Answer

The ratio of the coordinates of each point on the graph is equivalent to 1/4.

Answer

The constant of proportionality for gallons of water to number of guppies is 5/4.

Question 20

A baker uses the equation y=3.5x to find the number of cups, y, of milk he needs to make a number, x, of tres leches cakes.

What is the constant of proportionality between y and x?

Accepted Answer

3.5

Answer

5.3

Answer

4

Answer

3

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