Question

x varies directly as y, x= 8 when y= 6. Find y when x= 12'​

Answer 1

Answer:

x-8,y-6

When x-12

y will be.

x and y are in the ratio of 4/3 so

12/4=3.

therefore 6 will also be multiplied 3 times so 3×3=9

y value is 9 when x value is 12.

Answer 2

Step-by-step explanation:

Given: $x \propto \: y$,$x = 8$ when $y = 6$.

To find: Find y, when $x=12$.

Solution:

Tip: Find constant of variation.

Step 1: Remove sign of proportionality.

It can be done by a constant.

$\bf x = ky$

Step 2: Find value of k, when

$x = 8y = 6$

$k = \frac{x}{y}$

$k = \frac{8}{6}$

or

$\bf k = \frac{4}{3}$

Step 3: Find y when $x = 12$

$x = \frac{4}{3} y$

put

$x = 12$

$12 = \frac{4}{3} y$

or

$y = \frac{12 \times 3}{4}$

or

$\bf y = 9$

Final answer:

$y = 9$ when $x = 12$.

Hope it helps you.

To learn more on brainly:

Find constant of variation and write equation of variation for every example given below:

1)p a 1/q ; if p=15 then q=4

2...

https://brainly.in/question/25136414

Solution of the equation 2p - 15 = 12 - 3p is : *

https://brainly.in/question/47576812