Answer:
[tex]y = 30[/tex]
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.
[tex]y*x =k[/tex] for some constant k, called the constant of proportionality. Use this translation if the constant is desired.
[tex]y_{1} *x_{1} = y_{2} *x_{2}[/tex]
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
[tex](12)*(5) = (y)(2)[/tex] (multiply 12 * 5) and (multiply y*2)
[tex]60 = 2y[/tex] (now divide by 2 on both sides to get y by itself)
[tex]y = 30[/tex] (this is your answer)
