Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x=16 y=9 when x=8
If y varies directly with x, we can write the direct variation equation as y = kx, where k is the constant of variation.
To find the value of k, we can use the given data point when x = 16 and y = 9:
9 = k * 16.
Dividing both sides of the equation by 16:
9/16 = k.
So the value of k is 9/16.
Now we can substitute the value of k into the direct variation equation:
y = (9/16)x.
To find the value of y when x = 8:
y = (9/16) * 8 = 72/16 = 4.5.
Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x =16
y=9 when x=8
Write a direct variation equation that relates x and y.
y=
To write a direct variation equation that relates x and y, we can use the form y = kx, where k represents the constant of variation.
Now, let's find the value of k using the given data point when x=8 and y=9.
9 = k * 8
Dividing both sides of the equation by 8:
k = 9/8
Now we have the value of k, we can write the direct variation equation that relates x and y:
y = (9/8)x
what is the value of y when x=16
y=
To find the value of y when x = 16, we can substitute x = 16 into the direct variation equation we found earlier:
y = (9/8)x
y = (9/8)(16)
y = 18
Therefore, when x = 16, y = 18.