Question

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. If y varies directly as x and z, and y=40 when x=5 z=4, find y when x=2 and z=1

Answer 1

y = 4

Explanation:

We can write an equation and plug in the given values to find the constant of variation first:

y = kxz

40 = k(5)(4)

40 = 20k

2 = k (constant of variation)

Our equation will be y = 2xz

Now, we can solve the equation for y:

y = 2xz

y = 2(2)(1)

y = 4