Direct and Inverse Variation

Practice Questions

ACT Math › Direct and Inverse Variation

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1

In an experimental setting, the pressure and the temperature of gas in a container are directly proportional. In the first experiment, the pressure of the gas was and the temperature of the gas was , where is a constant value not equal to . If a second experiment found a temperature of , which of the following represents the pressure of the gas?

2

In an experimental setting, the pressure and the temperature of gas in a container are directly proportional. In the first experiment, the pressure of the gas was and the temperature of the gas was , where is a constant value not equal to . If a second experiment found a temperature of , which of the following represents the pressure of the gas?

3

In a given set of experiments, the values of two variables are always inversely proportional. If in the first experiment the first variable was and the second was , what could you expect the second variable to be if the first is in a later experiment?

4

In a given set of experiments, the values of two variables are always inversely proportional. If in the first experiment the first variable was and the second was , what could you expect the second variable to be if the first is in a later experiment?

5

An instrument reads two values, and daily. The values directly vary with respect to each other. If on Monday the value of was and was , which of the following could be the values for and on Wednesday?

6

Throughout a party, the number of joyful non-philosophers in a room is always inversely proportional to the number of philosophers in the room. The room begins with people, of whom are philosophers. Later in the day, there are philosophers in the room. How many joyful non-philosophers are at the party at the later time?

7

An instrument reads two values, and daily. The values directly vary with respect to each other. If on Monday the value of was and was , which of the following could be the values for and on Wednesday?

8

Throughout a party, the number of joyful non-philosophers in a room is always inversely proportional to the number of philosophers in the room. The room begins with people, of whom are philosophers. Later in the day, there are philosophers in the room. How many joyful non-philosophers are at the party at the later time?

9

In a given solution, the proportion of water to apple juice is directly proportional. If the first batch of the solution contained gallons of apple juice and gallons of water, how many gallons of apple juice will be needed for a solution containing gallons of apple juice?

10

In a given solution, the proportion of water to apple juice is directly proportional. If the first batch of the solution contained gallons of apple juice and gallons of water, how many gallons of apple juice will be needed for a solution containing gallons of apple juice?

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