9. Which of the following equations can be used to predict the height, h, in inches, of the plant for any given week, w?
Answer: B
h = w + 1
This equation can be used to predict the height, h, in inches, of the plant for any given week, w, indicating a steady increase in height over time.
A) h = w
This option suggests that the height of the plant is equal to the week number, implying no growth or increase in height over time. This is incorrect as it does not account for any initial height or growth factor.
B) h = w + 1
This equation accurately reflects that for each week, the plant grows by one inch. It indicates that at week zero the height could be one inch, making it a reasonable prediction for the plant's growth over time.
C) h = w + 2
This option implies that the plant grows by two inches for each week, which could misrepresent the growth rate if the actual growth is one inch per week. Therefore, it overestimates the plant's height.
D) h = w + 3
Similar to option C, this equation suggests a growth of three inches per week, which does not align with the expected growth rate. This would also inaccurately predict the height of the plant.
Conclusion
The equation h = w + 1 is the most accurate representation of the plant's growth, indicating a consistent increase of one inch per week. All other options misrepresent the growth rate, either by suggesting no growth or excessive growth per week, making them unsuitable for predicting the plant's height.