Thekidgio16
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A type of mold doubles every 9 hours. If you started with 14 spores in a Petri dish, how many spores would you have after 45 hours? After 45 hours, there would be_______spores.​

Respuesta :

seetha1980

Answer:

448

Step-by-step explanation:

Every 9 hours, mold doubles

Started with 14 spores

In 9 hours, 14+14= 28 spores

In 18 hours, 28+28=56 spores

In 27 hours, 56+56=112 spores

In 36 hours, 112+112=224 spores

In 45 hours, 224+224=448 spores

facundo3141592

We want to write an equation for an exponential growth that represents the change in the population of mold.

The answer is: "After 45 hours, there would be__448__spores.​"

-----------------------------------

We know that a given type of mold doubles every 9 hours.

So if you start with a quantity A of spores, after 9 hours there are:

2*A spores.

After another 9 hours (for a total of 18 hours) the population is:

(2^2)*A spores.

You already could see the pattern.

After x hours, the number of spores will be given by:

p(x) = A*(2)^(x/9)

Now we want to know how many spores are there after 45 hours, if the initial amount is 14 spores.

So we need to replace:

  • A = 14
  • x = 45

Then we want to compute:

p(45) = 14*(2)^(45/9) = 448

From this, we can conclude that after 45 hours there will be 448 spores.

If you want to learn more, you can read:

https://brainly.com/question/12490064

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