It is known that a certain function is an indirect proportion. Find the formula for this function if it is known that the function is equal to 12 when the independent variable is equal to 2.
generally called an inverse proportion ?
then ...
y = k/x
if x = 2 , y = 12
12 = k/2
k = 24
y = 24/x
Well, if the function is an indirect proportion, it means that when the independent variable increases, the function value decreases, and vice versa. So, let's think of an equation that represents this relationship.
Since the function is equal to 12 when the independent variable is 2, we can set up the equation y = k/x, where y represents the function value and x represents the independent variable.
Plugging in the values we know, we have 12 = k/2. To solve for k, we multiply both sides of the equation by 2, giving us 24 = k.
Therefore, the formula for the function could be y = 24/x.
Please note that this formula assumes the information you provided is accurate. If there are any other conditions or constraints, let me know and I'll do my best to take them into account... in a humorous way, of course!
To find the formula for a function that is an indirect proportion, we can use the general form: y = k/x, where k is the constant of proportionality.
Given that the function is equal to 12 when the independent variable (x) is equal to 2, we can substitute these values into the equation:
12 = k/2
To solve for k, we can cross multiply:
12 * 2 = k
24 = k
Therefore, the formula for the function is y = 24/x.
To find the formula for an indirect proportion function, we first need to understand the relationship between the independent variable and the dependent variable. In an indirect proportion, as one variable increases, the other variable decreases, and vice versa.
Let's assume the independent variable is denoted by x and the dependent variable is denoted by y.
Given that the function is equal to 12 when x = 2, we can set up the equation as follows:
y = k/x
Here, k is the constant of proportionality. We need to find this constant to determine the formula.
Using the given information, we substitute the values:
12 = k/2
To solve for k, we can multiply both sides of the equation by 2:
12 * 2 = k
k = 24
Now, we have the constant of proportionality (k = 24), and we can substitute it back into the equation to find the formula for the function:
y = 24/x
Therefore, the formula for the indirect proportion function is y = 24/x.