Question

Problem Set
1. A cran-apple juice blend is mixed in a ratio of cranberry to apple of 3 to 5.
Complete the table to show different amounts that are proportional.
a.
Amount of Cranberry
Amount of Apple
b. Why are these quantities proportional?
2. John is filling a bathtub that is 18 inches deep. He notices that it takes two minutes to fill the tub with three inches
of water. He estimates it will take 10 more minutes for the water to reach the top of the tub if it continues at the
same rate. Is he correct? Explain.

Answer 1

1. The completion of the table to show the different proportional amounts based on the crane-apple juice blend ratio is as follows:

a) Amounts of Cranberry and Apple:

Blend   Cranberry     Apple

1                  3                5

2                 6               10

3                 9               15

4               12               20

5               15               25

Etc.

b) These amounts are proportional because they increase by the same ratios.

2. John is correct to estimate that it will take 10 more minutes to reach the top of the tub at the same filling rate.

The bathtub had been filled up to three inches at 2 minutes, therefore, John needed to spend additional 10 minutes, making it 12 minutes (2 + 10), which was the calculated time for filling the tub at the same rate.

What is a proportion?

A proportion is the ratio of a variable to another.

A proportion shows how much one value is contained in another.

Proportions are expressed in fractions, decimals, or percentages.

Data and Calculations:

John's Bathtub:

Depth of the bathtub = 18 inches

Filling rate = 3 inches per two minutes

Or 1.5 inches per minute

Estimated additional time to reach the top = 10 minutes

Time already spent = 2 minutes

Calculated time to reach the top = 12 minutes (18/1.5)

Blend          Cranberry            Apple

1                  3 (3 x 1)              5 (5 x 1)

2                 6 (3 x 2)           10 (5 x 2)

3                 9 (3 x 3)           15 (5 x 3)

4               12 (3 x 4)          20 (5 x 4)

5               15 (3 x 5)         25 (5 x 5)

Learn more about proportions at https://brainly.com/question/870035

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