y varies inversely with the square of m.?

y = k over m-squared

--------------------------------------...

y varies directly with x. When y = 12, x = 16. Find x when y = 24.

y=kx, where k is a constant

y=12 , x=16

12=16k

k=12/16 = 3/4

y= kx becomes y = 3x/4

Find x when y=24

24 = 3x/4

96 = 3x

3x=96

x=32

--------------------------------------...

Translate into an equation: y varies jointly with b and h.

y=kbh

--------------------------------------...

Alex’s gasoline consumption, g, varies inversely with the price of a gallon, p. Alex uses 22 gallons of gas per week when the price is $3.49 per gallon. How many gallons will he use if the price goes up to $3.89 per gallon? Round to the nearest gallon.

g varies inversely with p

g = k/p, where k is a constant

22 = k/3.49

k=22(3.49) =76.78

g = 76.78/p

when p=3.89

g = 76.78/3.89 = 19.73 = 20

--------------------------------------...

y varies inversely with twice the value of x. When y = 8, x = 2. Find y when x = 8.

y =k/2x

y=8; x=2

8 = k/4

k=32

y=32/2x =

y=16/x

when x=8, y=16/8 = 2

----------------------------------

# Translate into an equation: y varies inversely with the square of m.?

y = k over m-squared

y = k squared over m

y = k2m

y = km2

Question 2 (Multiple Choice Worth 2 points)

y varies directly with x. When y = 12, x = 16. Find x when y = 24.

18

32

64

Question 3 (Multiple Choice Worth 2 points)

Translate into an equation: y varies jointly with b and h.

y = kbh

y = k b over h

y = k h over b

y = k over b h

Question 4 (Multiple Choice Worth 2 points)

Alex’s gasoline consumption, g, varies inversely with the price of a gallon, p. Alex uses 22 gallons of gas per week when the price is $3.49 per gallon. How many gallons will he use if the price goes up to $3.89 per gallon? Round to the nearest gallon.

14

16

18

20

Question 5 (Multiple Choice Worth 2 points)

y varies inversely with twice the value of x. When y = 8, x = 2. Find y when x = 8.

2

16

24

32

y = k squared over m

y = k2m

y = km2

Question 2 (Multiple Choice Worth 2 points)

y varies directly with x. When y = 12, x = 16. Find x when y = 24.

18

32

64

Question 3 (Multiple Choice Worth 2 points)

Translate into an equation: y varies jointly with b and h.

y = kbh

y = k b over h

y = k h over b

y = k over b h

Question 4 (Multiple Choice Worth 2 points)

Alex’s gasoline consumption, g, varies inversely with the price of a gallon, p. Alex uses 22 gallons of gas per week when the price is $3.49 per gallon. How many gallons will he use if the price goes up to $3.89 per gallon? Round to the nearest gallon.

14

16

18

20

Question 5 (Multiple Choice Worth 2 points)

y varies inversely with twice the value of x. When y = 8, x = 2. Find y when x = 8.

2

16

24

32

## 1 Answers

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