Pls help asappppppp it is very important I need it pls

Question

asked Apr 4, 2022 90.3k views

1 Answer

Arjan Kroon · Answer 1 · 2022-04-07T19:32:02+0000

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)

(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

(108)/(3)=y

36=y

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