Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x = 15.

Question

Y =9 when X =5

Write a direct variation equation that relates x and y. (Simplify your​ answer.)

y=

Answer 1

kx, where k is the constant of variation

Using the given information, we can find the value of k by plugging in the values of x and y:
9 = k(5)

Now, solve for k:
k = 9/5 = 1.8

So, the equation relating x and y is y = 1.8x.

To find the value of y when x = 15, plug in the value of x into the equation:
y = 1.8(15)
y = 27

Answer 2

no

Answer 3

I apologize, let's start from the beginning.

Given that y varies directly with x, we can write the direct variation equation as:

y = kx,

where k is the constant of variation.

Using the given information that y = 9 when x = 5, we can substitute those values into the equation:

9 = k(5).

To find the value of k, we can divide both sides of the equation by 5:

9/5 = k.

So, the equation relating x and y is y = (9/5)x.

To find the value of y when x = 15, we substitute x = 15 into the equation:

y = (9/5)(15).

Simplifying, we get:

y = 27.

Therefore, when x = 15, y = 27.