To determine whether Gregory's graph is correct, we need to analyze the information given. Since the plant grows 1.5 inches every two weeks, we can find the weekly growth rate by dividing the total growth by the number of weeks.
1.5 inches every two weeks means that in one week, the plant grows:
1.5 inches / 2 weeks = 0.75 inches per week.
Now, let's evaluate the options based on this calculation:
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"Gregory’s graph is correct because it shows 1.5 inches of growth for each week." - This is incorrect because the growth per week is 0.75 inches, not 1.5 inches.
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"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." - This option points to an incorrect claim that the graph shows 2 inches per week (which we have no evidence for), but correctly notes that 0.75 inches is the proper growth per week.
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"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." - This option is clearly incorrect as well since the growth is not 1.5 inches or 3 inches weekly.
The best answer based on the analysis is that Gregory’s graph is incorrect because it should show 0.75 inches of growth per week. If we are strictly choosing from given responses, the second option would be the most applicable, provided it correctly acknowledges the weekly growth rate of 0.75 inches.