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If x varies directly with y and x = 2.5 when y = 10, find x when y = 16.
1.5, 8, 7.5, 4
Solution:
x varies directly with y
x ∝ y (x directly proportional to y)
x = k.y where k is a constant of proportionality
Now substitute the value of x and y
x = k.y
2.5 = k (10)
k = 0.25
Determine the value of x by substituting the value of k and y
x = k . y
x = (0.25) (16)
So we get
x = 4
Therefore, the value of x is 4.
If x varies directly with y and x = 2.5 when y = 10, find x when y = 16.
1.5, 8, 7.5, 4
Summary:
If x varies directly with y and x = 2.5 when y = 10, x is 4 when y = 16.
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