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Chapter 11: Q64. (page 582)

If y varies directly as x and y=5 whenx=2 , find y when x=6.

Short Answer

Expert verified

Whenx=6,y=15.

Step by step solution

01

Step 1. Given Information.

Given y varies directly as x and y=5 when x=2.

02

Step 2. Calculation.

When y varies directly as x, the equation representing this is y=kx where k is any constant.

Plugging the given x and y values to find k:

y=kx5=k(2)k=52

Hence the equation representing the variation is y=52x

Plugging x=6 in the equation to find the value of y:

y=52xy=52(6)y=5(3)y=15

03

Step 3. Conclusion.

Hence, when x=6, y=15.

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