Question

Suppose j varies jointly with g and v, j=1 when g=6 and v=3. Find j when g=8 and v=11

Answer 1

j=4.88 when g=8 and v=11

Further explanation:

When the increase/decrease in one quantity cause increase/decrease in other quantity, it is called direct variation.

Variation is always accompanied by a variation constant.

Given

g and v vary directly with j

IT can be written as:

j∝gv

Putting the variation constant k

j = kgv

Putting g = 6 and v=3

$j = kgv\\1 = k * 6 * 3\\1 = 18k\\k = \frac{1}{18}$

So the value of k is 1/18 which makes the equation

$j = \frac{1}{18}gv\\ Putting\ g=8\ and\ v=11\\j = \frac{1}{18} * 8 * 11\\j = \frac{88}{18}\\ j =4.88$

So, j=4.88 when g=8 and v=11

Keywords: Variation, Direct Variation

Learn more about variation at:

• brainly.com/question/11258952
• brainly.com/question/1284310

#LearnwithBrainly