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The first time a census was taken in the town of Lynne, the population was 901. Each year after that, the population was about 2% higher than it was the previous year.

Sketch the graph that represents the situation. Let x represent the number of years since the first census was taken.

What are the coordinates of the point that contains the ­y-intercept?



(1, 901)

(901, 0)

(901, 1)

(0, 901)

The first time a census was taken in the town of Lynne the population was 901 Each year after that the population was about 2 higher than it was the previous y class=

Respuesta :

Steel42
The answer is: (0,901)
facundo3141592

Answer: (0, 901)

Step-by-step explanation: If we define the population function as a function of y, where y means years, the first time we measure it we get P = 901, and then, the population grows a 2% (this means that we need to multiply the population of the previous year by 1.02) every year that passes.

If we define this first measure as the year zero, we have the relation:

P(0) = 901

P(1) = 901*1.02

P(2) =  901*1.02*1.02

so we can see that:

P(y) = 901*(1.02)^y

where y can be any integer.

Here we see that the graph of our function will be an exponential growth.

The coordinates of the y-intercept are the pair of p(0) = 901, this pair is (0,901), the fourth option of the given ones.

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