Question

Suppose you are determining the growth rate of two species of plants. Species Ais 25 cm tall and grows 3 em per month. Species

Answer 1

Question:

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.

Answer:

The system of equations that models the height of each species H(m) as a function of months m is: $H_A(m) = 25 + 3m \text{ and } H_B(m) = 10+8m$

Solution:

$H_A(m)$ = the height of species A as a function of months m

$H_B(m)$ = the height of species B as a function of months m

Species A is 25 cm tall and grows 3 cm per month

Let "m" be the number of months

Therefore, a equation is framed as:

Species A : 25 cm + 3(number of months)

$H_A(m) = 25 + 3m$

Species B is 10 cm tall and grows 8 cm per month

Therefore, a equation is framed as:

Species B : 10 cm + 8(number of months)

$H_B(m) = 10+8m$

Thus the system of equations that models the height of each species H(m) as a function of months m is: $H_A(m) = 25 + 3m \text{ and } H_B(m) = 10+8m$