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