suppose why varies directly with X write a direct variation equation that relates ex and Y then find the value of Y when X=18
y=7 x=6
write a direct variation equation that relates X and Y
y=
what is the value of Y when X=18
Y=
direct variation means y = kx
so use the values they gave you to get
7 = k*6
k = 7/6
so y = 7/6 x
To write a direct variation equation that relates X and Y, we can use the formula:
y = kx
In this equation, "k" represents the constant of variation. We need to find the value of "k" using the given information:
Given: y = 7, x = 6
Plugging in the values into the equation:
7 = k * 6
Now we solve for "k":
k = 7/6
So, the direct variation equation relating X and Y is:
y = (7/6)x
To find the value of Y when X = 18, we can substitute X = 18 into the equation:
Y = (7/6) * 18
Simplifying this expression:
Y = 21
So, when X is 18, Y is 21.
To write a direct variation equation that relates X and Y, we can use the formula:
y = kx
where "k" is the constant of variation. This means that as X increases or decreases, Y will also increase or decrease proportionally.
To find the value of Y when X = 18, we can substitute the given values into the equation:
y = kx
Given values: y = 7, x = 6
Substituting these values into the equation:
7 = k * 6
We can solve for "k" by dividing both sides of the equation by 6:
k = 7 / 6
Now we can write the direct variation equation by substituting the value of "k" back into the equation:
y = (7 / 6) * x
So, the direct variation equation that relates X and Y is:
y = (7 / 6) * x
To find the value of Y when X = 18, we can substitute X = 18 into the equation:
y = (7 / 6) * 18
Now we can solve for Y:
y = (7 / 6) * 18
y = (7 * 18) / 6
y = 126 / 6
y = 21
Therefore, when X = 18, Y = 21.