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Gregory noticed that his plant had grown 1.5 inches every two weeks since the day it sprouted. He created a table to show the plant’s weekly growth.

On a coordinate plane, a graph titled Plant Growth has Weeks Since Sprouting on the x-axis and Height (inches) on the y-axis. Points (1, 2), (2, 4), (3, 6), and (4, 8) are plotted.

Which statement about Gregory’s graph is true?
Gregory’s graph is correct because it shows 1.5 inches of growth for each week.
Gregory’s graph is incorrect because it shows 1.5 inches of growth for each week when it should show 3 inches for each week.
Gregory’s graph is incorrect because it shows 2 inches of growth for each week when it should show 0.75 inches of growth each week.
Gregory’s graph is correct because it shows 1.5 inches of growth every two weeks.

1 answer

To analyze Gregory's plant growth, we start with the information given that the plant has grown 1.5 inches every two weeks. This means the weekly growth can be calculated as follows:

1.5 inches / 2 weeks = 0.75 inches per week.

Now, let's examine the points plotted on the graph, which are (1, 2), (2, 4), (3, 6), and (4, 8).

  • At Week 1: Height = 2 inches
  • At Week 2: Height = 4 inches (which is an increase of 2 inches from Week 1)
  • At Week 3: Height = 6 inches (which is another increase of 2 inches from Week 2)
  • At Week 4: Height = 8 inches (again, an increase of 2 inches from Week 3)

From this, we can see that the graph indicates a growth of 2 inches per week, which does not match the actual growth rate of 0.75 inches per week.

Based on this analysis, the correct statement regarding Gregory's graph is:

Gregory’s graph is incorrect because it shows 2 inches of growth for each week when it should show 0.75 inches of growth each week.