Question

If xx and yy vary directly and yy is 16 when xx is 2, find yy when xx is 5.

a) 20
b) 18
c) 25
d) 22

Answer 1

The value of y when x is 5 is 40.

Step-by-step explanation:

Since xx and yy vary directly, we can use the direct variation equation yy = kxx, where k is the constant of variation. We know that when xx is 2, yy is 16, so we can substitute these values into the equation to find the value of k:

16 = k(2)

k = 8

Now, we can substitute the value of k into the equation to find yy when xx is 5:

yy = 8(5) = 40

Therefore, yy is 40 when xx is 5.