Question

Given y varies directly as x, use the given x-value and y-value to find an equation that relates x and y. x = 24 and y = 360

Answer 1

Answer:

$y=15x$

Step-by-step explanation:

We are asked to find the equation for given quantities, when y varies directly as x.

We know that the equation of two proportional quantities are in form $y=kx$, where k represents constant of proportionality.

Let us find constant of proportionality by substituting $x=24$ and $y=360$ in above equation.

$360=24k$

$\frac{360}{24}=\frac{24k}{24}$

$15=k$

Therefore, our required equation would be $y=15x$.

Answer 2

Y = kx
360 = 24k
k = 15
y = 15x