Question 758843: Question 1 (Multiple Choice Worth 2 points)
y varies directly with x. When y = 20, x = 50. Find x when y = 36.
75
80
90
105
Question 2 (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
Question 3 (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
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Question 1 (Multiple Choice Worth 2 points)
y varies directly with x.
y = k*x
Solve for "k" using "When y = 20, x = 50."
20 = k*50
k = 2/5
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Equation:
y = (2/5)x
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Find x when y = 36.
36 = (2/5)x
x = (5/2)36
x = 90
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Question 2 (Multiple Choice Worth 2 points)
y varies inversely with twice the value of x.
y = k/(2x)
----
Solve for "k" "When y = 8, x = 2".
8 = k/(2*2)
8 = k/4
k = 32
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Equation:
y = 32/(2x) = 16/x
--------------------------
Find y when x = 8.
y = 16/8 = 2
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Note: I'll leave the last one to you.
Cheers,
Stan H.
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Question 3 (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
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