A graph has the following points: (3,24), (5,26), and (7,28). Using the same pattern, what is the y-coordinate when x=10?
To determine the y-coordinate when x=10 using the same pattern, let's find the rate of change between consecutive x-coordinates:
The rate of change between (3, 24) and (5, 26) is (26-24)/(5-3) = 2/2 = 1.
The rate of change between (5, 26) and (7, 28) is (28-26)/(7-5) = 2/2 = 1.
Since the rate of change between consecutive x-coordinates is constant, we can conclude that the pattern is a linear relationship.
Using the rate of change of 1, we can find the y-coordinate when x=10:
y = 28 + (10-7) * 1
y = 28 + 3 * 1
y = 28 + 3
y = 31
Therefore, the y-coordinate when x=10 is 31.