. If y is directly proportional to x and y = 18 when x = 3,
(i) find an equation connecting x and y,
(ii) find the value of y when x = 5,
(iii) calculate the values of x when y = 32,
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Step-by-step explanation:
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Step-by-step explanation: y is directly proportional to x.
So y = ax, where ‘a’ is a constant.
Now given y=18 when x=3, we can write 18 = a.3
or, 3a = 18
or, a = 6
So y = 6x (answer to q(i))
If x = 5, we get y = 6.5 = 30 (ans to q (ii))
If y = 32, 6x = 32
or, x = 32/6 = 16/3 = 5 and 1/3 (ans to q (iii))
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