Which type of variation is modeled in the table?
x|2 |4 |6|
y|24|12|8|
a) combined***
B) inverse
C) joint
D) direct
I change my answer to B. I did some studying and feel very confident it is B now.
since xy=48 for each pair, B is correct.
what kind of variau is modeled by the table below?
To determine which type of variation is modeled in the table, we need to examine the relationship between the variables x and y.
First, let's look at the values of x. We can see that as x increases, the corresponding values of y decrease. This suggests an inverse relationship between x and y.
To confirm this, we can calculate the ratio of y to x for each pair of values.
For the first pair (x=2, y=24), the ratio of y to x is 24/2 = 12.
For the second pair (x=4, y=12), the ratio of y to x is 12/4 = 3.
For the third pair (x=6, y=8), the ratio of y to x is 8/6 = 4/3.
Since the ratios are not constant, the variation is not joint or direct. However, the fact that the ratios are decreasing indicates an inverse variation.
Therefore, the type of variation modeled in the table is B) inverse.