Question

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.

Answer 1

First species 24

Second species 13

Answer 2

The equations for the growth of two type of species are H(m) = 12 + 2m and H(m) = 10 + 3m

Given:

Height of plant A = 12cm

Growth of plant A = 2cm

Height of plant B = 10 cm

Growth of plant B = 3 cm

To Find:

The system of equations modelling the height of each species H(m) as a function of m months.

Solution:

The height of each species is represented by = H(m) { As a function of months m}

Now,

For plant A - 12 cm tall grows 2 cm

Therefore, the equation becomes

H(m) = 12 + 2m

Similarly,

For plant B - 10 cm tall and grows 3 cm

Then the equation becomes

H(m) = 10 + 3m

Therefore, the equations for the growth of species A and B are -

H(m) = 12 + 2m

H(m) = 10 + 3m

Answer: The equations for the growth are H(m) = 12 + 2m and H(m) = 10 + 3m