Chapter 11: Q64. (page 582)

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

Short Answer

Expert verified

When $x = 6,$ $y = 15$ .

Step by step solution

Step 1. Given Information.

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

Step 2. Calculation.

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

Plugging the given x and y values to find k:

$\begin{array}{l} y = k x \\ 5 = k (2) \\ k = \frac{5}{2} \end{array}$

Hence the equation representing the variation is $y = \frac{5}{2} x$

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

$\begin{array}{l} y = \frac{5}{2} x \\ y = \frac{5}{2} (6) \\ y = 5 (3) \\ y = 15 \end{array}$

Step 3. Conclusion.

Hence, when $x = 6$ , $y = 15$ .

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

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Theoretical and Mathematical Physics

Decision Maths

Logic and Functions

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

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