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Chapter 3: Q35. (page 203)

Suppose yvaries directly as x. Write a direct variation equation that relates x and y. Then solve.

Ify=15 when x=2, find y when x=8.

Short Answer

Expert verified

The direct variation equation that relates x and y is y=152x.

The value of y whenx=8 is 60.

Step by step solution

01

Step 1. Write a direct variation equation that relates x and y.

It is given that y varies directly as x.

Therefore it implies that y伪x.

Therefore, it is obtained that:

y伪xy=kx

Where k is constant of proportionality.

It is given that when x=2, y=15.

Therefore, substitute 2 for x and 15 for y in the equation y=kx to find the value of k.

y=kx15=k2152=k

Substitute the value of k in the equation y=kx.

Therefore, it is obtained that:

y=kxy=152x

Therefore, the direct variation equation that relates x and y is y=152x.

02

Step 2. Find the value of y when x=8.

The direct variation equation that relates x and y is y=152x.

Find the value of y by substituting 8 for x in the equation y=152x.

y=152xy=1528y=154y=60

Therefore, the value of y whenx=8 is 60.

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