Jeopardy Review Questions
Direct Variation
1. Given that y varies directly with x, use the specified values to write a direct variation equation
that relates x and y.
x=9
y=27
2. Given that y varies directly with x, use the specified values to write a direct variation equation
that relates x and y. Then find y when x = 9(Write ordered pair)
x=6
y=2
3. Given that y varies directly with x, use the specified values to write a direct variation equation
that relates x and y. Then find y when x = 3(Write ordered pair)
x=16
y=80
4. Given that y varies directly with x, use the specified values to write a direct variation equation
that relates x and y. Then find x when y = 9(Write ordered pair)
y=7
x = 14
5. Given that y varies directly with x, use the specified values to write a direct variation equation
that relates x and y. Then find x when y = 45(Write ordered pair)
y = 18
x =2
Inverse Variation
6. Given that y varies inversely with x, use the specified values to write an inverse variation
equation that relates x and y.
y=2
x=1
7. Given that y varies inversely with x, use the specified values to write an inverse variation
equation that relates x and y. Then find y when x =2. (Write ordered pair)
y=3
x=2
8. Given that y varies inversely with x, use the specified values to write an inverse variation
equation that relates x and y. Then find y when x = 2 (Write ordered pair)
1
y=2
x = 10
9. Given that y varies inversely with x, use the specified values to write an inverse variation
equation that relates x and y. Then find x when y=3 (Write ordered pair)
y=9
x=1
10. Given that y varies inversely with x, use the specified values to write an inverse variation
equation that relates x and y. Then find x when y=9 (Write ordered pair)
1
y= 3
x=9
Application
11. When a person walks, the pressure P on each boot sole varies inversely with the area A of the
sole. Denis is walking through the deep snow, wearing boots that have a sole of 29 square
inches each. The boot sole pressure is 4 pounds per square inch. What is the constant of
variation and equation that relates P and A.
12. A paycheck varies directly with the number of hours worked. Suppose the pay for 20 hours of
work is $238.25. What is the pay for 500 hours of work?
13. The volume V of a gas varies inversely as the pressure p on it. If the volume is 300 cm3 under a
pressure of 48 kg/cm2, what is the volume under a pressure of 25 kg/cm2
14. A pump empties a swimming pool in 60 minutes at the rate of 1500 L/min.
If the rate of pumping is 2500 L/min, how long does it take to empty the swimming pool.
15. The owner of an electronics store determines that the monthly demand d(in units) for a
computer varies inversely with the price p (in dollars) of the computer. When the price is 500,
the monthly demand is 50 units. Write the inverse variation equation that relates p and d. Then
find the monthly demand when the price is 1000.
Direct or Inverse?
16. Tell whether the following is a direct variation, inverse variation, or neither. If direct or inverse,
write the equation.
17. Tell whether the following is a direct variation, inverse variation, or neither. If direct or inverse,
write the equation.
18. Is the following Direct variation, inverse variation, or neither?
4
x=
𝑦
19. What must the values of the table be in order for the following to be a direct variation?
20. Tell whether the following is a direct variation, inverse variation, or neither. If direct or inverse,
write the equation.