Which of the following equations can be used to predict the height, h, in inches, of the plant for any given week, w?

Rationale

h = w + 1 can be used to predict the height, h, of the plant for any given week, w.

This equation suggests that for each passing week, the height of the plant increases by one inch. This linear relationship indicates a consistent growth rate each week, providing a straightforward way to estimate the plant's height over time.

A (h = w) YOUR ANSWER

This equation implies that the height of the plant is equal to the week number, meaning that if it is week 3, the height would also be 3 inches. However, this does not account for any initial growth or baseline height, making it an inaccurate predictor of the plant's height.

C (h = w + 2) YOUR ANSWER

This equation suggests that the plant's height increases by two inches for each week. While it indicates growth, it overestimates the height by two inches each week, which does not align with the provided correct answer that specifies a growth of one inch per week.

D (h = w + 3) YOUR ANSWER

Similar to option C, this equation indicates a height increase of three inches per week. This significant overestimation would lead to inaccurate predictions about the plant's height, making it an unsuitable choice when compared to the correct equation.

Conclusion

The equation h = w + 1 accurately reflects the plant's growth pattern, indicating a steady increase of one inch per week. The other options either misrepresent the growth rate or do not provide the correct baseline for predicting the plant's height over time. Thus, understanding the relationship between weeks and plant height is crucial for accurate forecasting.

Which of the following equations can be used to predict the height, h, in inches, of the plant for any given week, w?

h = w + 1 can be used to predict the height, h, of the plant for any given week, w.

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