Algebra-1

Let's analyze the given data table to determine its nature.

Step 1: Calculate Common Differences

Common Differences:

From y(1) to y(2): 10 - 7 = 3

From y(2) to y(3): 13 - 10 = 3

From y(3) to y(4): 16 - 13 = 3

The common differences are: 3, 3, 3 (constant)

Since the common differences are constant, this indicates that the relationship is linear.

Step 2: Calculate Common Ratios

Common Ratios:

From y(1) to y(2):

From y(2) to y(3):

Click "Show Answer" to reveal the answer and analysis