The world population was 2,560 million in 1950 and 6,080 million in 2000. Assume the growth rate of the population P'(t) is proportional to the size of the population P(t): P' (t) = kP(t)

a) write down the population model as an exponential function of time (P(t)) explicitly: calculate all the parameters involved in the model using the data provided above.

b) What is the predicted world population in 2050

Question

The world population was 2,560 million in 1950 and 6,080 million in 2000. Assume the growth rate of the population P'(t) is proportional to the size of the population P(t): P' (t) = kP(t)

a) write down the population model as an exponential function of time (P(t)) explicitly: calculate all the parameters involved in the model using the data provided above.

b) What is the predicted world population in 2050

anonymous · Answer

Don't you use the dy/dt=ky for this.

anonymous · Answer

that should be the same...

anonymous · Answer

You will have the natural log of y = kt, then you just plug in values and solve.

anonymous · Answer

i thought you would use something like
Pe^(kt)

anonymous · Answer

y=e^kt+c => y=Ce^kt

anonymous · Answer

they're the same...

anonymous · Answer

Didn't know P was representative of the constant... =)

anonymous · Answer

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