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Chapter 8: Q. 8.172 (page 1011)

If y varies directly as x and y = 12 when x = 4 find the equation that relates x and y.

Short Answer

Expert verified

y=3x

Step by step solution

01

Step 1. Given information.

We have been given that y varies directly as x and y = 12 when x = 4.

We have to find the equation that relates x and y.

02

Step 2. Write the formula for direct variation and substitute the given values for the variables.

The direct variation formula is y=kx.

Substitute x=4,y=12.

12=k(4)

03

Step 3. Solve for the constant of variation and write the equation that relates x and y 

12=k(4)k=124k=3

Therefore, we can write:

y=3x

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