Question

at the beginning of spring, kaylee planted a small sunflower in her backyard. the sunflowers height in inches, h, after w weeks, is given by the equation h = 4w + 14. what is the meaning of the h - value when w = 1? answer the sunflowers final height the change in the sunflowers height for every one additional week. the sunflowers height when it was planted. the sunflowers height after one week.

Explanation:

The equation \( h = 4w + 14 \) represents the sunflower's height \( h \) (in inches) after \( w \) weeks. When \( w = 1 \), we are substituting the number of weeks as 1 into the equation. So the \( h \)-value when \( w = 1 \) should represent the height of the sunflower after 1 week. Let's analyze the other options:

• "The sunflower's final height" is incorrect because we don't know when the sunflower stops growing, and \( w = 1 \) is just 1 week, not a final time.
• "The change in the sunflower's height for every one additional week" is the slope (4) of the equation, not the \( h \)-value when \( w = 1 \).
• "The sunflower's height when it was planted" would be when \( w = 0 \) (since at planting, 0 weeks have passed), not \( w = 1 \).

Answer:

The sunflower's height after one week.