Find an equation of variation in which y varies directly as x and y=18 when x=9. Then find the value of y when x= 16.
y varies directly as x ----> y = kx
given: when y = 18 then x = 9
18 = 9k
k = 18/9 = 2
so y = 2x
so when x = 16, y = 2(16) = 32
you are right!
I think it’s y=2x and y is 32 when x=16 am I right
To find an equation of variation where y varies directly as x, we can use the formula:
y = kx
where k is the constant of variation.
Given that y = 18 when x = 9, we can substitute these values into the equation to find the value of k:
18 = k * 9
Dividing both sides by 9, we find that k = 2.
Now, with the value of k, we can find the value of y when x = 16 by substituting these values into the equation:
y = 2 * 16
Simplifying, we find that y = 32.
So when x = 16, y = 32.