Activity 2b – Unit Quiz: Proportional Relationships – Assess, Recall, and Solve

1. Question

A cran-apple juice blend is mixed in a ratio of cranberry to apple of 3 to 5. Choose the table to show different amounts that are proportional and best answers the question.

Correct Incorrect Correct answer

2. Question

Based on question #1, choose the best response that answers why those quantities proportional?

The amount of apple is proportional to the amount of cranberry since there exists a constant number, 1/2, that when multiplied by any of the given measures for the amount of cranberry always produces the corresponding amount of apple. If the amount of cranberry is represented by x, and the amount of apple is represented by y, then each pair of quantities satisfies the equation y = 1/2 x. A similar true relationship could be derived by comparing the amount of cranberry to the amount of apple. In the case where x is the amount of apple and y is the amount of cranberry, the equation would be y=2/1 x.

Correct Incorrect Correct answer

The amount of apple is proportional to the amount of cranberry since there exists a constant number, 1/3, that when multiplied by any of the given measures for the amount of cranberry always produces the corresponding amount of apple. If the amount of cranberry is represented by x, and the amount of apple is represented by y, then each pair of quantities satisfies the equation y = 1/3 x. A similar true relationship could be derived by comparing the amount of cranberry to the amount of apple. In the case where x is the amount of apple and y is the amount of cranberry, the equation would be y=3/1 x.

Correct Incorrect Correct answer

The amount of apple is proportional to the amount of cranberry since there exists a constant number, 3/5, that when multiplied by any of the given measures for the amount of cranberry always produces the corresponding amount of apple. If the amount of cranberry is represented by x, and the amount of apple is represented by y, then each pair of quantities satisfies the equation y = 3/5 x. A similar true relationship could be derived by comparing the amount of cranberry to the amount of apple. In the case where x is the amount of apple and y is the amount of cranberry, the equation would be y=5/3 x.

Correct Incorrect Correct answer

The amount of apple is proportional to the amount of cranberry since there exists a constant number, 5/3, that when multiplied by any of the given measures for the amount of cranberry always produces the corresponding amount of apple. If the amount of cranberry is represented by x, and the amount of apple is represented by y, then each pair of quantities satisfies the equation y = 5/3 x. A similar true relationship could be derived by comparing the amount of cranberry to the amount of apple. In the case where x is the amount of apple and y is the amount of cranberry, the equation would be y=3/5 x.

Correct Incorrect Correct answer

3. Question

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. Choose the table that best represents the correct answer.