Quiz about Analyze and Use Proportional Relationships

Question 1

The equation y = 3.5x represents a proportional relationship. What is the constant of proportionality?

Accepted Answer

3.5

Answer

y

Answer

x

Answer

1/3.5

Question 2

Trey walked 2/5 of a mile in 1/4 of an hour. How fast did he walk in miles per hour?

Accepted Answer

8/5 or 1 3/5 miles per hour

Answer

1/10 miles per hour

Answer

5/8 miles per hour

Answer

2/5 miles per hour

Question 3

The equation y = 0.45x represents a proportional relationship. What is the constant of proportionality?

Accepted Answer

0.45

Answer

y

Answer

x

Answer

it can't be determined

Question 4

How do you know whether two quantities x and y are proportional?

Accepted Answer

Every ratio of y/x for related pairs of x and y is equivalent

Answer

Every sum x + y is the same for related pairs of x and y.

Answer

Every x term is multiple of the previous term

Answer

Every difference x - y is the same for related pairs of x and y

Answer

You really have no way of knowing. It's a messed up world.

Question 5

Is there a proportional relationship between x and y?

Accepted Answer

No all the ratios of y/x are not equivalent.

Answer

Yes the difference between each x and y value is the same.

Answer

No, all ratios of x/y are greater than 1.

Answer

Yes, as each x increases by 1 each y value increases by $1.75

Question 6

What values for x and y would make this a proportional relationship?

Accepted Answer

x = 5, y = 6

Answer

x = 6, y = 5

Answer

x = 4, y = 5

Answer

There are no values to make this table proportional.

Question 7

A unit rate must always:

Accepted Answer

have a 1 in the denominator

Answer

be a complex fraction

Answer

not be a fraction

Answer

be a whole number

Question 8

Click on the values that are expressed as a unit rate.

Accepted Answer

$$\frac{\frac{2}{5}}{1}$$

Accepted Answer

$$\frac{5}{1}$$

Answer

$$\frac{3}{4}$$

Answer

$$\frac{1}{\frac{1}{2}}$$

Answer

$$\frac{6}{7}$$

Question 9

How do you find a unit cost?

Accepted Answer

Divide the cost by the number of items.

Answer

Divide the number of item by the cost

Answer

What is a unit cost?

Question 10

Allie wanted to get cupcakes for her birthday party. She can get a 6-pack cupcakes for $13.20 or 14-pack of cupcakes for $32.90. Which cupcake deal is the best? How much per cupcake is the best deal?

Accepted Answer

6 pack, $2.20 per cupcake

Answer

6 pack, about $.45 per cupcake

Answer

6 pack, $2.25 per cupcake

Answer

14 pack; about $.43 per cupcake

Answer

14 pack; $2.35 per cupcake

Question 11

Jo is knitting a scarf for his mom for Christmas. It took him 1/2 an hour to knit 1/3 of a foot. How fast is Jo knitting in feet per hour?

Accepted Answer

2/3 feet per hour

Answer

3/4 feet per hour

Answer

3/5 feet per hour

Answer

It can't be determined with this information

Answer

I know Jo and he can't knit!

Question 12

The equation y = 1/4x relates proportional quantities x and y. What is the value of x when y is 2?

Accepted Answer

8

Answer

6

Answer

4

Answer

This cannot be determined.

Question 13

Use the graph to find the constant of proportionality.

Accepted Answer

6/5

Answer

5/6

Answer

12/10

Answer

18/15

Question 14

Which graphs are not proportional?

Accepted Answer

Graph 2 and 3

Answer

Graph 1 and 2

Answer

Graph 3 and 4

Answer

Graph 1 and 4

Question 15

Question 15.

Accepted Answer

The relationship is not proportional because the graph does not pass through the origin.

Answer

The relationship is proportional because as time increases the diameter of the tree also increases.

Answer

The relationship is not proportional because the graph is not a straight line.

Answer

The relationship is proportional because the graph is a straight line.

Question 16

Is the number of cookies proportional to the number of guests?

Accepted Answer

This table DOES show a proportional relationship between the number of guests and the number of cookies.

Answer

This table DOES NOT show a proportional relationship between the number of guests and the number of cookies.

Answer

It impossible to determine if this is proportional because we don't know how many guests will arrive.

Answer

It doesn't really matter because Cookie Monster will show up and eat all the cookies anyway!

Question 17

Your friend wants to know if the amount of money in her account is proportional to the number of months she's been saving money.

Accepted Answer

The table DOES NOT show a proportional relationship between months and amount in saving account.

Accepted Answer

Your friend needs to get a calculator and learn how to use it.

Answer

The table DOES show a proportional relationship between months and amount in saving account.

Question 18

This equation shows a proportional relationship between x and y. What is the constant of proportionality and why is it called the constant of proportionality.

y = 12.6x

Accepted Answer

C.O.P. = 12.6, Its called the COP because 12.6 is the constant multiple of x that gives you y.

Answer

C.O.P. =12.6, I have no idea why it's called that.

Answer

1.26 It's called that because it sounds complicated and mathematicians are always trying to make these complicated!

Answer

I have never heard of this. I think you are messing with us, Mrs. Schlottman!

Question 19

Lilly typed a 54 word paragraph is 3/4 of a minutes. What is her speed in word per minute.

Accepted Answer

72 words a minute

Answer

54 words a minute

Answer

108 words a minutes

Answer

It is impossible to determine.

Question 20

Yesterday, Braxton drove his go cart 45 miles on 2/3 of a gallon of gas. What is his unit rate for miles per gallon.

Accepted Answer

67.5 miles per gallon

Answer

45 miles per gallon

Answer

135 miles per gallon

Answer

This cannot be determined.

Question 21

What is the main idea of this topic of study?

Accepted Answer

y $$\div$$ x is the constant of proportionality and the unit rate. Once you find it just plug it into y = kx and you have this sweet equation. A graph of a proportional relationship is always a straight line that goes through the origin.

Answer

$$y^2\ =$$ y $$ imes$$ y

Answer

There is no point to math. It's just hard and I will never learn any of it. I am going to work at McDonald's and live in my parents basement when I am 40 years old.

Answer

The main point is to torture me with math formulas.

Question 22

What is the most AWESOME subject in school?

Accepted Answer

MATH

Accepted Answer

Mathematics

Accepted Answer

Doing Math, baby!

Accepted Answer

Anything that involves math! Because I will make a lot of money someday if I learn how to do math like a boss!

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