A produção mensal de uma Olaria é de 5.000 tijolos nesse mês alvará produziu 3925 tijolos quantos tijolos ainda falta para compl
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Answer:
a)
b)
Step-by-step explanation:
Assuming the complete question : "A town has a population of 1000 people at time t = 0. In each of the following cases, write a formula for the population, P, of the town as a function of year t. (a) The population increases by 50 people a year. (b) The population increases by 5% a year."
Part a
For this case we can use a linear model in order to estimate the population size since we have a fixed increase each year. So our model would be given by:
Where on this case since represent the increase per year of the slope for the linear model. And the initial amount is
, so then the model is:
Part b
For this case we have a rate of increase and when we have this the lineal model is not the most appropiate. So then we can use an exponential model given by:
Where represent the initial population and for this case b is the rate of increase
since each year we have an increase of 5% and t is the time. So then the model is given by: