Q:

Suppose you are determining the growth rate of two species of plants. Species A is 25 cm tall and grows 3 cm per month. Species B is 10 cm tall and grows 8 cm per month. Which system of equations models the height of each species H(m) as a function of months m. H(m ) = 25 + 3mH(m ) = 8 + 10m H(m ) = 2 + 8mH(m ) = 25 + 10m H(m ) = 3 + 25mH(m ) = 8 + 10m H(m ) = 25 + 3mH(m ) = 10 + 8m

Accepted Solution

A:
If the growth rate is a constant, we can model it using a linear equation:

y = b + ax

where b = initial value, a = growth rate.
In this case, x = m = number of months.

Let's find the equation for the growth of each species.

Species A:
Initial height = b = 25 cm
Growth rate = a = 3 cm per month
So its height can be modeled by H(m) = 25 + 3m

Species B:
Initial height = b = 10 cm
Growth rate = a = 8 cm per month
So its height can be modeled by H(m) = 10 + 8m

Thus the answer is A: H(m) = 25 + 3m and B: H(m) = 10 + 8m.