Find an equation of variation in which y varies inversely as x and y=5 and x=15. Then find the value of y when x=10.
no. 5 = 75/15 so k=75
y(10) = 75/10
y = k/x
now use (15,5) to find k, and then y(10)
Is the answer 3
To find an equation of variation in which y varies inversely as x, we can use the general equation for inverse variation:
y = k/x
where k is the constant of variation.
Given that y = 5 when x = 15, we can substitute these values into the equation:
5 = k/15
To find the value of k, we can solve for it:
k = 5 * 15
k = 75
So, the equation of variation is:
y = 75/x
To find the value of y when x = 10, we can substitute x = 10 into the equation:
y = 75/10
y = 7.5
Therefore, when x = 10, the value of y is 7.5.