Question

If x varies inversely as y, and x = 11 when y = 15, find x when y = 3.

Answer 1

Answer:

C

Step-by-step explanation:

given x varies inversely as y then the equation relating them is

x = $\frac{k}{y}$ ← k is the constant of variation

To find k use the given condition x = 11 when y = 15

k = xy = 11 × 15 = 165 , hence

x = $\frac{165}{y}$ ← inverse variation equation

when y = 3, then

x = $\frac{165}{3}$ - 55 → C

Answer 2

Answer:

55

Step-by-step explanation:

The equation of inverse variation is

y = k/x,

where k is a constant.

We can use the given x- and y-coordinates to find k.

y = k/x

15 = k/11

k = 165

The inverse variation equation for this problem is

y = 165/x

For y = 3,

3 = 165/x

3x = 165

x = 55