Question

Suppose you are determining the growth rate of two species of plants. Species A is 25cm tall and grows 3cm per month Species B is 10 cm tall and grow 8cm per per month which system of equations models the height of each species H(d) as a function of days d.

Answer 1

See below.

Explanation:

There are about 30 days in each month. with that in mind, we can say Species A grows about 3cm/30days and Species B grows 8cm/30days. As a function of days "d" we can say Species A grows at a rate of (3/30)d and Species B at (8/30)d.

*Notice how when d = 30, it reflects one month of growth for each.

And since each plant had some height already, we can write two equations like this:

• Species A; H(d) = (1/10)d + 25
• Species B; H(d) = (8/30)d + 10

*Just in case you didn't see it, (3/30) can be reduced to (1/10); which is what I did above.