Question

Pls help asappppppp it is very important I need it pls

Answer 1

Given:

The graph of a proportional relationship.

To find:

The constant of proportionality, the value of y when x is 24 and the value of x when y is 108.

Solution:

If y is directly proportional to x, then

$y\propto x$

$y=kx$             ...(i)

Where, k is the constant of proportionality.

The graph of proportional relationship passes through the point (5,15).

Substituting x=5 and y=15 in (i), we get

$15=k(5)$

$\dfrac{15}{5}=k$

$3=k$

Therefore, the constant of proportionality is 3.

Substituting k=3 in (i) to get the equation of the proportional relationship.

$y=3x$              ...(ii)

Substituting x=24 in (ii), we get

$y=3(24)$

$y=72$

Therefore, the value of y is 72 when x is 24.

Substituting y=108 in (ii), we get

$108=3x$

$\dfrac{108}{3}=y$

$36=y$

Therefore, the value of x is 36 when y is 108.