If x is inversely proportional to y, and x=60 when y=0.5, find x when y =12
x is inversely proportional to y ---> x = k/y
if x=60, then y=0.5
60 = k/.05
k = 3
so x = 3/y or xy = 3
when y = 12
12x = 3
x = 3/12 = 1/4
I did this very systematically, you can shorten it up a bit
my choices are 0.4, 25, 2.5, or 360.
so, is the answer 0.4 or 25?
To find the value of x when y is equal to 12 in an inverse proportion, you can use the formula for inverse proportion:
x1 * y1 = x2 * y2
In this case, we are given that x is inversely proportional to y. So, we can rewrite the formula as:
x1 / y1 = x2 / y2
Let's plug in the values we know:
x1 = 60, y1 = 0.5, y2 = 12
60 / 0.5 = x2 / 12
Simplifying the equation:
120 = x2 / 12
To find x2, we can cross-multiply:
120 * 12 = x2
x2 = 1440
Therefore, when y = 12, the value of x is 1440.