We all need help on this.
The population of a town is modelled by P=-0.1x^2+1.2x+4.4 where x is the number of years since the year 2000, and y is the population in thousands.
a) In the year 2005, what is the population?
I used the equation, put x=5 and I got 7900 as the population.
b) In the year 1999, what is the population?
I used the equation, put x=-1 and I got 3100 as the population.
c) When was the population of the town the greatest? What was the
greatest population?
I used the vertex, (6,8). So in 2006 the greatest population was 8000 people.
d) The town has really become a terrible place to live.Predict when all the residents will leave the town.
How would we do this? Please help
1 answer
d) the parabola opens downward ... so at some point beyond the vertex , the population (y) will go to zero (one of the "roots")