Aysha has a big backyard garden. When she measured the height of the tree, it was 14 feet tall. After one year, it was 16 feet tall. Assuming that the tree grows constantly at this rate.

Determine the function that represents the height \( (H) \) of the tree each year.
a. \( H(y)=15+y \)
b. \( H(y)=14+2 y \)
c. \( H(y)=16+y \)
d. \( H(y)=16-2 y \)

Answer

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Answer

Select the correct function from the choices: \( H(y) = 14 + 2y \) (Option b)

Steps

Step 1 ：Calculate the constant growth rate of the tree per year: \( \frac{16 - 14}{1} = 2 \)

Step 2 ：Formulate the height function \( H(y) \) using the initial height and constant growth rate: \( H(y) = 14 + 2y \)

Step 3 ：Select the correct function from the choices: \( H(y) = 14 + 2y \) (Option b)