Proportions Answers

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1
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What is a valid proportion to represent the problem?

A
StartFraction 3,000 over 12 EndFraction = StartFraction 14 over 3,500 EndFraction
Option A
B
StartFraction 12 over 3,000 EndFraction = StartFraction 3,500 over 14 EndFraction
Option B
C
StartFraction 3,500 over 3,000 EndFraction = StartFraction 12 over 14 EndFraction
Option C
D
StartFraction 3,000 over 12 EndFraction = StartFraction 3,500 over 14 EndFraction
Option D
3

c =

Answer not available
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 the proportion using equivalent ratios. Explain the steps you used to solve the proportion, and include the answer in your response.

Question illustration
Answer:

To solve the proportion 10/3 = 20/x using equivalent ratios, I compared the numerators. Since 20 is twice 10 (10 × 2 = 20), the denominator x must also be twice the first denominator. Therefore, x = 3 × 2 = 6.

6

Solve

Question illustration
A
a = 3/5
B
a = 3/4
C
a = 4/3
D
a = 5/3
8

Question text not available

Answers:
Selection 1:49
Selection 2:10
Selection 3:105
9

a = b = c =

Answers:
Selection 1:49
Selection 2:10
Selection 3:105
11

In the morning, Marco sold 12 cups of lemonade for $3. By the end of the day, he had earned $9. How many cups of lemonade did he sell in all? Kaycee wrote the proportion for this situation. Identify the error and give two ways to write the proportion correctly.

Question illustration
Answer:

Kaycee did not keep the units (cups and dollars) in the same positions in both ratios. In her proportion (12/3 = 9/c), the first ratio is cups/dollars, while the second ratio is dollars/cups. Two ways to write the proportion correctly are 12/3 = c/9 (keeping cups in the numerators) or 3/12 = 9/c (keeping dollars in the numerators).

12

Sample response: Kaycee did not keep lemonade and dollars in corresponding positions in the ratios of the proportion. The proportion should be 12/3=c/9 or it could be written 3/12=9/c. Dollars should be in the same position and cups should be in the same position across ratios. Which facts did you include in your response? Check all that apply.Kaycee did not keep lemonade and dollars in the same positions in the ratios.In the first ratio, the number of cups was the numerator and the number of do

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.
14

b =

Answer not available

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