Omar wants his plants to grow two ft over the next year. He reads about two different fertilizers that promote plant growth. Each of the fertilizers projected growths over time, in weeks, can be modeled using a linear equation. Which ley attribute of the models would Omar need to compare in order to determine which fertilizer will help his plant reach 2 ft of growth the fastest?

Question

Omar wants his plants to grow two ft over the next year. He reads about two different fertilizers that promote plant growth. Each of the fertilizers projected growths over time, in weeks, can be modeled using a linear equation. Which ley attribute of the models would Omar need to compare in order to determine which fertilizer will help his plant reach 2 ft of growth the fastest?
1)Omar would need to compare the maximums from [0,2]
2)Omar would need to compare he ranges from (0,0) to (2,y)
3)Omar would need to compare the domains from (0,0) to (x,2)
5)Omar would need to compare the minimums from [0,2]

GPT-4o mini · Answer

To determine which fertilizer will help his plant reach 2 ft of growth the fastest, Omar would need to compare the rates of growth of the two fertilizers. This can be analyzed by examining the slopes of the linear equations that model plant growth over time.

The correct attribute to compare would be related to the rate of growth (slope) rather than maximums, ranges, domains, or minimums.

However, since none of the provided options directly reference comparing slopes or rates, the closest option in the context of how to achieve the desired growth of 2 ft as quickly as possible is:

2) Omar would need to compare the ranges from (0,0) to (2,y).

In this context, comparing the ranges from (0,0) to (2,y) could imply that he is looking at the output values (growth) over a specific input (time), which may indirectly help him determine which option achieves the target height sooner. However, ideally, he should actually look at the slope of the linear equations for precise comparison of growth rates.