Question

The value of y varies directly with x, and y = 18 when x = 12. Find y when x = 60.

Answer 1

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→ Here,

• y varies directly as x means that y = kx
• here value of (k) is not known

by substituting the values of x and y, y = 18 when x = 12

$\rm{y = kx} \\ \\ \rm{18 = 12k} \\ \\ \rm{k = \cancel \frac{18}{12} } \\ \\ \rm{ k = 1.5}$

Now, substituting value of k nd x in y = kx

• x = 132
• k = 1.5
• in y = kx

$\rm{y = (1.5 \times 60 )} \\ \\ \rm{y = 90}$

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