Determine if the following table of ratios is proportional. If so, state the constant of proportionality/variation.
snow 2.4 10.8 13.2 6.0
sunny 8 36 44 20
Proportional?
Constant of Variation (if not proportional, enter 0):
To determine if the table of ratios is proportional, we need to check if the ratios between the two columns are constant.
Let's calculate the ratios:
2.4/8 = 0.3
10.8/36 = 0.3
13.2/44 = 0.3
6.0/20 = 0.3
As we can see, the ratios between the two columns are all equal to 0.3. Therefore, the table of ratios is proportional.
The constant of variation is 0.3.
To determine if the given table of ratios is proportional, we need to check if the ratios are equal for each corresponding pair of values.
snow / sunny = 2.4 / 8 = 0.3
10.8 / 36 = 0.3
13.2 / 44 = 0.3
6.0 / 20 = 0.3
Since the ratios are all equal to 0.3, we can conclude that the given table is proportional.
The constant of variation, also known as the constant of proportionality, is the value that relates the two variables in a proportional relationship. In this case, the constant of proportionality can be determined by any of the ratios.
Constant of Variation: 0.3