Question

If y is inversely proportional to x and y = 3 when x = 4, find the value of y when x = 8

Answer 1

Answer:

3/2

Step-by-step explanation:

$\text{y is inversely proportional to x} \\\\ => y=3 \ when \ x=4 \\ when \ x=8,y=? \\\\ y_1=3;y_2=? \\ x_1=4,x_2=8\\\\ => \frac{y_1}{y_2} =\frac{x_2}{x_1} \\\\ =>\frac{3}{y_2} =\frac{8}{4} \\\\ =>\frac{3}{y_2} =2\\\\ =>y_2=\frac{3}{2}$

Answer 2

Answer:

the value of y is 1.5 when x is 8

Step-by-step explanation:

A. T. Q

y inversly proportional to x

therefore, we can write

y = k/x (where k is proportionalty constant)

According to first equation,

3 = k/4

k = 12

we have to find what is the value of y when x = 8

make the equation,

y = k/8 (put here value of k )

and you will get y = 1.5