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P(t)=640e-0.043t
i need help

P(t)=640e-0.043t i need help-example-1
User Taku
by
5.6k points

1 Answer

3 votes

Answer:

The last option is correct: -4.3%

Explanation:

Continuous Exponential Growth or Decay

The exponential e is used when modeling continuous growth or decay that occurs naturally such as populations, bacteria, radioactive decay, etc.

If a quantity grows or decays continuously by a fixed percent, the pattern can be described by the function:


P(t)=P_o e^(kt)

Where P(t) is the value at the time t

k is the continuous growth/decay rate. If positive is for growth if negative is for decay.

The given function is:


P(t)=640 e^(-0.043t)

It can be seen the value of k is:

k = -0.043

Or, expressed as a percentage:

k = -4.3%

The last option is correct: -4.3%

User Luke Chadwick
by
5.7k points
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