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Chapter 7: 313E (page 719)

If y varies directly as x and y=14, when x=3. Find the equation that relates x and y.

Short Answer

Expert verified

The equation that relates x and y isy=143x.

Step by step solution

01

Step 1. Given information

Given that If y varies directly as x and y=14, whenx=3.

02

Equation relating x and y.

Since y varies directly as x, therefore

y伪x鈬�y=kx鈫�1,wherekistheproportionalityconstant.

Now since y=14when x=3, therefore form equation (1), we get

14=k路3鈬�k=143

Now put k=143in equation (1), we get

y=143x

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