February 23, 2017

Homework Help: Maths

Posted by Mario on Tuesday, July 6, 2010 at 9:07am.

Hi, I have a formula for modelling the variation in population density in terms of distance from a town centre;

y= -3x^2 +6x+9

where y represents the population density (in thousands per km^2) and x represents the distance (in km) from the town centre

I have already constructed a parabola as part of the question its just the next bit I need some help on if possible?

When x = 2 and y =9 what does this mean in th context of the model?

How would i calculate the population density at the town centre?

What is the max population density predicted by the model and at what distance from the town centre would it occur?

For what range of distances fro the town centre might this model be useful?

Any help or guidance would be very much appreciated

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