The rate of change of the population of a city is proportional to the population p at any time t (in years). in 2000, the population was 200,000, and the constant of proportionality was 0.013. estimate the population of the city in the year 2025.

  276,806

Step-by-step explanation:

In this context "rate of change of the population ... is proportional to the population" means it can be modeled by ...

  P(t) = P0·e^(kt)

where "k" is the "constant of proportionality, and P0 is the population corresponding to t=0.

Filling in the given numbers, we have ...

  P(25) = 200,000·e^(0.013·25) ≈ 276,806

The population is estimated to be 276,806 in the year 2025.

all you should have to do is insert 1 where the c is, representing that one car is sold.

f(c) = 250c + 500

f(1) = 250(1) + 500

f(1) = 250 + 500

f(1) = 750

he earns $750 for each car sold.

hope this you! have a happy , here's a turkey!