Question

if x1 = 5 , y1 =7.5 , x2 = 7.5 then find y2 if x and Y vary directly ?​

Answer 1

Answer:

ur answer is above ok step by step solution ok

Answer 2

The value of $\bf \red{y_2 = 11.25}$

Given:

• If $x_1 = 5, \: y_1 =7 .5, \: x_2 = 7.5$
• If x and y varies directly.

To find:

• Value of y2.

Solution:

Concept to be used:

• Put a proportionality constant for variables.
• Find the value of proportionality constant from first pair.

Step 1:

Find the value of proportionality constant from first pair.

As

$\bf x \propto \: y$

Let k is the proportionality constant.

$x = ky$

or

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

Put values of x1 and y1.

$k = \frac{5}{7.5}$

or

$\bf k = \frac{1}{1.5}$

Step 2:

Find the value of y2.

As x2= 7.5

So,

$\frac{1}{1.5} = \frac{7.5}{y_2}$

cross multiply

$y_2 = 1.5 \times 7.5$

or

$\bf y_2 = 11.25$

Thus,

Value of y2 is 11.25.

By this way value of unknown variable can be calculated easily.

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