Question

Y varies directly as x and inversely as z. y=100 when x=5 and z=10. Find y when x=3 and z=60.

Answer 1

Answer:

10

Step-by-step explanation:

Formula you are going to use: $y=\frac{kx}{z}$

you will use k to help you resolve for y :)

1. $y=\frac{kx}{z}$
2. $100=\frac{5k}{10}$
3. $100=\frac{k}{2}$ (multiply by 2 to cancel the fraction)
4. 200 = k

Now you will replace k with 200 :)

1. $y=\frac{kx}{z}$
2. $y=\frac{3(200)}{60}$
3. $y=\frac{600}{10}$
4. y = 10

• Hope it helps you  $:)$