Name:    SOL A.8 DIRECT INVERSE VARIATION MINI QUIZ

1.

Decide if the data in the table show direct or inverse variation. Write an equation that relates the variables.
 x 1 3 5 7 0.5 y 4 12 20 28 2

2.

The volume, V, of a tank varies directly with its height, h. A tank 12 feet high holds 300 cubic feet. Write an equation relating V and h.

Essay

1.

The volume of a sample of a gas at a given pressure varies directly with temperature. The table shows the volume V of a sample of gas at different temperatures.

Part A: Explain why a direct variation model can be used for the data.
Part B: What is the constant of variation, to the nearest thousandth?
Part C: Write an equation of direct variation for these data.
Part D: At what temperature does the sample of gas have a volume of 4.88 L? Round to the nearest whole number.
Part E: What would be the volume of the sample if the temperature is 150 K?

2.

Write an inverse variation problem in which k = 36. Show a table containing at least four pairs of solution values for the inverse variation equation. Then graph the equation. Do all the values modeled by the graph make sense in your problem?