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nata0808 [166]
4 years ago
8

A colony contains 1500 bacteria. The population increases at a rate of 115% each hour. If x represents the number of hours elaps

ed, which function represents the scenario?
A f(x) = 1500(1.15)x

B f(x) = 1500(115)x

C f(x) = 1500(2.15)x

D f(x) = 1500(215)x
Mathematics
2 answers:
muminat4 years ago
8 0

Answer:

Option (c) is correct.

f(x)=1500(2.15)^x function representing the increase of bacteria every hour x,

Step-by-step explanation:

Given : A colony contains 1500 bacteria. The population increases at a rate of 115% each hour.

we have to find the function that represents the given scenario.

Let x represents the number of hours elapsed.

Given  A colony contains 1500 bacteria

 and number of bacteria is increasing at a rate of 115% each hour.

Using formula for Compound interest , we have,

A=P(1+\frac{r}{100} )^t

Where A is amount

T is time period

R is rate of interest

Here, P = 1500

T = x hours

R = 115%

Let f(x) be the function representing the increase of bacteria every hour.

Substitute, we have,

f(x)=1500(1+\frac{115}{100} )^x

Simplify, we get,

f(x)=1500(1+1.15)^x

f(x)=1500(2.15)^x

Thus, f(x)=1500(2.15)^x function representing the increase of bacteria every hour x,

UkoKoshka [18]4 years ago
3 0
Its  f(x)=1500(2.15)x so c hope this helps
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Answer:

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Step-by-step explanation:

6 0
3 years ago
It's moving day, and Lydia has packed her books into large and small boxes. The large boxes hold 35 books, and the small ones ho
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<u><em>Explanation</em></u>

Suppose, the number of large boxes is x and the number of small boxes is y

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3 years ago
Given the functions:<br> g(n) = 3n - 5<br> f(n) = n2 + 50<br> Find:<br> (g+f)(8)
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Answer:

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Step-by-step explanation:

Given

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Required

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Substitute 8 for n

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