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Reptile [31]
3 years ago
5

Suppose the population of a country in 1985 was 145 million. In 1995 it was 190 million. Use the formula P = Ae kt to setup an e

xpression to estimate the population of the country in 2005.
A. P = 145e10k

B. P = 145e20k

C. P = 190e10k

D. P = 190e20k
Mathematics
2 answers:
kondaur [170]3 years ago
4 0

Answer: Option B is correct

The expression to estimate the population of the country in 2005 is given by

P=145e^{20k}\\

Step-by-step explanation:

Since we have given that

In 1985, there was population of 145 millions.

Similarly,

In 1995, there was a population of 190 million .

Use the formula,

P=Ae^{kt}\\

where A denotes the initial population and t denotes the number of years.

So, the expression becomes

P=145e^{20k}\\

∵ time period between 1985 to 2005 is 20 years.

So we take t=20 years.

So, the expression to estimate the population of the country in 2005 is given by

P=145e^{20k}\\

Anvisha [2.4K]3 years ago
3 0

2^{nd} <em>Option</em>

\left[\begin{array}{ccc}P=145e^{(0.027)(10)}\\P=145e^{(0.027)(20)\\P=190e^{(0.027)(10)}}\\P=190e^{(0.027)(20)\end{array}\right]

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