When an inverse proportion is set up in fractional form, the numerator of the first ratio must correspond to the numerator of the second ratio.
Group of answer choice. ture or false
True.
False. When an inverse proportion is set up in fractional form, the numerator of the first ratio must correspond to the denominator of the second ratio.
The statement is true. In an inverse proportion, when it is set up in fractional form, the numerator of the first ratio must correspond to the numerator of the second ratio for it to be correctly represented.
To understand why this is true, let's first understand what an inverse proportion is. In inverse proportion, as one quantity increases, the other quantity decreases, and vice versa. This relationship can be expressed using a fraction, where the two quantities are set up in the numerator and denominator of the fraction.
For example, let's say we have two quantities, x and y, that are inversely proportional. We can represent this as:
x/y = k
where k is a constant value.
Now, if we want to set up this inverse proportion in fractional form, we can rewrite it as:
x = k/y
In this case, notice that the numerator of the first ratio, x, corresponds to the numerator of the second ratio, k. This is required to correctly represent the inverse proportion.
If we were to interchange the numerators and denominators, the representation would be incorrect, and it would not accurately depict the inverse proportion. So, to accurately represent an inverse proportion in fractional form, the statement is true that the numerator of the first ratio must correspond to the numerator of the second ratio.