12.

Suppose you are determining the growth rate of two species of plants. Species A is 12 cm tall and grows 2 cm per month. Species B is 10 cm tall and grows 3 cm per month. Which system of equations models the height of each species H(m) as a function of m months.

H(m) = 2 + 12m
H(m) = 3 + 10m

H(m) = 2 + 12m
H(m) = 10 + 3m

H(m) = 12 + 2m
H(m) = 3 + 10m

H(m) = 12 + 2m
H(m) = 10 + 3m

1 answer

To determine the system of equations that models the height \( H(m) \) of each species as a function of \( m \) months for two species of plants, we start by analyzing their initial heights and growth rates:

- For Species A, initially, it is 12 cm tall and grows 2 cm per month. Thus, the height \( H_A(m) \) after \( m \) months can be expressed as:
\[
H_A(m) = 12 + 2m
\]

- For Species B, initially, it is 10 cm tall and grows 3 cm per month. Thus, the height \( H_B(m) \) after \( m \) months can be expressed as:
\[
H_B(m) = 10 + 3m
\]

Therefore, the correct system of equations is:
\[
H_A(m) = 12 + 2m
\]
\[
H_B(m) = 10 + 3m
\]

So the correct choice is:

\[
H(m) = 12 + 2m
\]
\[
H(m) = 10 + 3m
\]