X Y
5 8
8 12.8
9 14.4
Direct Variation: Divide y by x to
find constant of variation, k.
y/x = k
Indirect Variation: Multiply x and y to find constant of variation, k.
xy=k
Determine if the given data are a
direct or indirect variation. SHOW YOUR WORK
Write the equation modeling the
data.
Let's check if the data given is a direct or indirect variation:
1. For data point (5, 8):
Direct Variation: y/x = 8/5 = 1.6
Indirect Variation: xy = 5 * 8 = 40
2. For data point (8, 12.8):
Direct Variation: y/x = 12.8/8 = 1.6
Indirect Variation: xy = 8 * 12.8 = 102.4
3. For data point (9, 14.4):
Direct Variation: y/x = 14.4/9 = 1.6
Indirect Variation: xy = 9 * 14.4 = 129.6
Based on the calculations above, we can see that the data is a direct variation because y/x has a consistent value of 1.6 for all data points.
Therefore, the equation that models the data is y = 1.6x.