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 is $y = \frac{14}{3} x$ .

Step by step solution

Step 1. Given information

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

Equation relating x and y.

Since y varies directly as x, therefore

$y α x \Rightarrow y = k x \to (1), w h e r e k i s t h e p r o p o r t i o n a l i t y c o n s \tan t .$

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

$14 = k \cdot 3 \Rightarrow k = \frac{14}{3}$

Now put $k = \frac{14}{3}$ in equation (1), we get

$y = \frac{14}{3} x$

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

Short Answer

Step by step solution

Step 1. Given information

Equation relating x and y.

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

Short Answer

Step by step solution

Step 1. Given information

Equation relating x and y.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

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Study anywhere. Anytime. Across all devices.

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