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lakkis [162]
3 years ago
9

The population of two different villages is modeled by the equations shown

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

Year = 1995 and population = 315

Year = 2015 and population = 715

Step-by-step explanation:

It is given that the population of two different villages is modeled by the given equations:

y=x^2-30x+540

y=20x+15

The population of both villages are same after x years after 1980 if

x^2-30x+540=20x+15

x^2-30x+540-20x-15=0

x^2-50x+525=0

Splitting the middle term, we get

x^2-15x-35x+525=0

x(x-15)-35(x-15)=0

(x-15)(x-35)=0

x=15,35

It means, after 15 or 35 years, the population will same.

For x=15, years is 1980+15=1995 and population is  

y=20(15)+15=315

For x=35, years is 1980+35=2015 and population is  

y=20(35)+15=715.

Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.

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