BRAINLIEST 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 bespores.

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:

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.

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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

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