Variation
Name __________
#1. y varies directly as the cube root of x. y=-7 when x=27. Find y when x=-1.
#2. y varies jointly as x and the square of z. y=-14 when x=18 and z=17. Find y when x=7 and z=18.
#3. y varies inversely as the cube of x. y=-5 when x=-8. Find y when x=-10.
#4. y varies jointly as x and z. y=72 when x=8 and z=1. Find y when x=0 and z=-10.
#5. y varies inversely as the square root of x. y=9 when x=4. Find y when x=289.
#6. y varies directly as x and inversely as the square of z. y=16 when x=13 and z=-2. Find y when x=12 and z=-19.
#7. y varies inversely as x. y=1 when x=-1. Find y when x=-6.
#8. y varies inversely as the square of x. y=-1 when x=-10. Find y when x=6.
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 218 pounds and is 55 inches tall. Is this person obese?
#10. An adult weighs 240 pounds and is 50 inches tall. Is this person underweight?
#11. A person who weighs 75 kilograms and is 145 centimeters tall has a BMI of 35.672. What is the BMI of a person who weighs 108 kilograms and is 134 centimeters tall?
#12. An adult weighs 182 pounds and is 47 inches tall. Is this person overweight?
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