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earnstyle [38]
3 years ago
14

Suppose you are determining the growth rate of two species of plants. Species A is 25cm tall and grows 3cm per month Species B i

s 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.
Mathematics
1 answer:
Tatiana [17]3 years ago
7 0

Answer:

See below.

Step-by-step 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.

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Answer:

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It often works well to write an exponential expression as ...

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(a) Here, the growth factor for the bacteria is given as 230/100 = 2.3 in a period of 1 hour. The initial number is 100, so we can write the pupulation function as ...

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