Variable y varies directly with x^2, and y = 75 when x = 5. What is the value of y when x = 3?

2014-12-19 2:55 pm
y=

回答 (2)

2014-12-19 3:57 pm
y I proportional to x^2
y = k x^2
k = y/x^2
k = 75 / 5^2
k = 75/25
k = 3 ( The constant of proportionality).

Hence
y = 3x^2
When x = 3
y = 3(3)^2
y = 3(9)
y = 27
2014-12-19 2:58 pm
y varies directly with x^2

y= kx^2 , where k is any constant
y=75; x=5

75 = k (5)^2
75 = 25 k
k = 3

y = 3x^2

when x=3:
y = 3 (3)^2
y = (3)(9)
y = 27


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