Proportional Reasoning Vocabulary

Question 1

Sam is looking at two different situations. Situation A: Sam plants rows of tomato plants. He starts with 5 rows, each having 8 plants, for a total of 40 plants. If he increases the number of rows to 9 while keeping 8 plants per row, the total number of plants becomes 72. Situation B: Sam fills water balloons with a pump. With the regular nozzle the pump fills one balloon in 6 seconds. When he switches to a nozzle that lets water flow twice as fast, the time to fill one balloon drops to 3 seconds. Which statement correctly identifies the type of proportional relationship for each situation?

Accepted Answer

In Situation A the quantities are directly proportional, and in Situation B they are inversely proportional.

Answer

In Situation A the quantities are inversely proportional, and in Situation B they are directly proportional.

Answer

Both Situation A and Situation B show direct proportion.

Answer

Both Situation A and Situation B show inverse proportion.

Question 2

Which of the following situations is an example of a direct proportion?

Accepted Answer

If you double the number of pages you read each hour, you will read double the pages in a day.

Answer

Doubling the speed of a car cuts the travel time in half.

Answer

Adding more workers to a team cuts the time needed to finish a job in half.

Answer

Raising the price of a ticket does not change how many tickets are sold.

Question 3

Which statement correctly uses the terms rate, speed, and density and gives their proper units?

Accepted Answer

The speed of the bike is 15 meters per second, the rate of water flow is 3 liters per minute, and the density of iron is 7.9 grams per cubic centimeter.

Answer

The speed of the bike is 15 meters per minute, the rate of water flow is 3 liters per second, and the density of iron is 7.9 kilograms per meter.

Answer

The rate of the bike is 15 meters per second, the speed of water flow is 3 liters per minute, and the density of iron is 7.9 grams per cubic meter.

Answer

The density of the bike is 15 meters per second, the speed of water flow is 3 liters per minute, and the rate of iron is 7.9 grams per cubic centimeter.

Try three questions

Which of the following situations is an example of a direct proportion?

Which statement correctly uses the terms rate, speed, and density and gives their proper units?

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