someone help please im homeschooled and dont understand math at all, its my weakest subject :(
If y varies inversely with x and y = 6 when x = 3, then what is y when x = 2?
a.) 9
b.) 12 -im guessing this?
c.) 18
d.) 36
x y = 6 * 3 = 18
2 y = 18
You might try the math lessons at Khan Academy.
http://www.khanacademy.org/math
thanks!!!!!
To solve this problem, we need to understand the concept of direct and inverse variation. In direct variation, when one variable increases, the other variable also increases, and vice versa. In inverse variation, when one variable increases, the other variable decreases, and vice versa.
In this case, we are given that y varies inversely with x. This means that as x increases, y will decrease, and as x decreases, y will increase. We can represent this relationship using the equation y = k/x, where k is a constant.
To find the value of k, we can substitute the given values of y and x into the equation. We are told that y = 6, and x = 3. So, we have 6 = k/3. To solve for k, we can multiply both sides of the equation by 3, giving us 18 = k.
Now that we have the value of k, we can use it to find the value of y when x = 2. Plugging the values of k and x into the equation, we get y = 18/2. Simplifying this expression, we find that y = 9.
Therefore, the correct answer is option a.) 9.