If y varies directly with x and y=88 when x=44, find x when y=4.

Question

asked Feb 11, 2024 217k views

2 Answers

Apurva Thorat · Answer 1 · 2024-02-16T16:03:26+0000

Answer:

x = 2

Explanation:

If y varies directly with x then:

$\boxed{y \propto x \implies y=kx}$

where k is the constant of variation.

Given y = 88 when x = 44:

$\implies 88=44k$

Solve for k by dividing both sides by 44:

$\implies (88)/(44)=(44k)/(44)$

$\implies 2=k$

$\implies k=2$

Therefore, the equation is:

$\boxed{y=2x}$

To find the value of x when y = 4, substitute y = 4 into the equation and solve for x:

$\implies 4=2x$

$\implies (4)/(2)=(2x)/(2)$

$\implies 2=x$

Therefore, the value of x when y = 4 is x = 2.