Y varies inversely as x y=12 when x=5 find y when x=2

Step-by-step explanation:

The phrase “ y varies inversely as x” or “ y is inversely proportional to x” means that as x gets bigger, y gets smaller, or vice versa. This concept is translated in two ways.

for some constant k, called the constant of proportionality. Use this translation if the constant is desired.

Use this translation if a value of x or y is desired.

In this problem we will us the 2nd way because we need to find y when x =2. All you need to do is plug in the values we are given into the formula

(multiply 12 * 5) and (multiply y*2)

(now divide by 2 on both sides to get y by itself)

(this is your answer)

a - base

b - exponent

so,