Variation
Name __________
#1. y varies directly as the cube of x. y=-1 when x=4. Find y when x=-1.
#2. y varies directly as the cube root of x. y=-2 when x=-8. Find y when x=2197.
#3. y varies directly as x and inversely as z. y=-7 when x=5 and z=-5. Find y when x=7 and z=-13.
#4. y varies directly as the square root of x. y=5 when x=64. Find y when x=256.
#5. y varies directly as the cube root of x. y=-18 when x=-64. Find y when x=512.
#6. y varies directly as the square root of x. y=15 when x=400. Find y when x=64.
#7. y varies directly as the cube root of x. y=1 when x=-64. Find y when x=6859.
#8. y varies directly as x and inversely as the square of z. y=18 when x=-1 and z=-1. Find y when x=-18 and z=-4.
BMI varies directly as one's weight and inversely as the square of one's height. In adults, values below 20 indicate the person is underweight while values above 25 indicate the person is overweight. Values over 30 indicate the individual is obese. A 74.52 kg adult with a height of 180 cm has a BMI of 23.
#9. An adult weighs 81 kilograms and is 180 centimeters tall. Is this person overweight?
#10. An adult weighs 59 kilograms and is 133 centimeters tall. Is this person underweight?
#11. An adult weighs 78 kilograms and is 159 centimeters tall. Is this person overweight?
#12. A person who weighs 288 pounds and is 67 inches tall has a BMI of 45.1. What is the constant of variation for this relationship?
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