If y varies directly as x, then find the values of a and b from the following table:
x
8
6
10
b
y
12
a
15
21
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Solution
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y varies directly as x
⇒y∞x
⇒y=kx where k is some constants
when x=8, y is 12
12=k(8)
⇒k=32
when x=6, y is a
⇒a=k(6)
a=32(6)
⇒a=9
when x=b, y is 21
⇒21=k(b)
21=32(b)
⇒b=14.
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