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BARSIC [14]
4 years ago
7

The population of a town can be modeled by the regression equation y = 18,000(1.04x). Which is the best prediction for the popul

ation in year 30?
Mathematics
2 answers:
slamgirl [31]4 years ago
5 0

Answer:    

The approximated population of the town after 30 years will be 58382

Step-by-step explanation:

The population of a town can be modeled by the regression equation :

y=18000\cdot (1.04)^x

where the initial population is 18000, y is the population of the town at any time x years

Now, we need to find the population of the town after 30 years.

So, Calculate the value of y by putting x = 30 in the given modeled equation.

\implies y=18000\cdot (1.04)^x\\\\\implies y=18000\cdot (1.04)^{30}\\\\\implies y=18000\times 3.24\\\\\implies y = 58381.16\\\\\implies y\approx 58382

Hence, The approximated population of the town after 30 years will be 58382

joja [24]4 years ago
3 0
Plugging in the year 30 would give y=18,000(1.04(30)) which would equal 561,000 as the population.
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