Proportions Answers

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3

c = 100✔ 105107112

A
100
B
105
C
107
D
112
4

Which situations can be represented by the proportion Check all that apply.

Question illustration
A
If 8 people can wash a car in 1/4 hour, then 4 people can wash the same car in 1/2 hour.
B
If 8 people can eat 1/2 of a watermelon, then 4 people can eat 1/4 of the watermelon.
C
If 1/2 pound of steak costs $8, then 1/4 pound of steak costs $4.
D
If 1/2 a pot holds 4 fluid ounces of water, then 1/4 of the pot holds 8 fluid ounces.
5

Solve

A
a = 3/5
B
a = 3/4
C
a = 4/3
D
a = 5/3
7

a = 404247✔ 49

A
40
B
42
C
47
D
49
10

Solve the proportion using equivalent ratios. Explain the steps you used to solve the proportion, and include the answer in your response.

Answer:

To solve using equivalent ratios you would consider the values in both numberators. The second numerators. The second numerator is 2 times the value of the first, so the second denominator should be 2 times the value of the first. Thus, x should equal 6 because 2 times 3 is 6.

11

Kaycee wrote the proportion for this situation. Identify the error and give two ways to write the proportion correctly.

Answer:

Kaycee did not keep lemonade and dollars in corresponding positions in the ratios of the proportion. The proportion should be 12/3c/9 or it could be written 3/129/c. Dollars should be in the same position and cups should be in the same position across ratios.

12

Which facts did you include in your response? Check all that apply.

A
The numerator of the second ratio is 2 times the numerator of the first.
B
For the ratios to be equivalent, the denominator of the second ratio must be 2 times the denominator of the first.
C
2 times 3 equals 6.
D
x = 6
13

Which facts did you include in your response? Check all that apply.

A
Kaycee did not keep lemonade and dollars in the same positions in the ratios.
B
In the first ratio, the number of cups was the numerator and the number of dollars was the denominator. In the second ratio, the number of cups was the denominator and the number of dollars was the numerator.
C
Valid proportions would be 12/3 = c/9 and 3/12 = 9/c.

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