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Question 277923: For the formula: P=MT+B (Y=MX+B) P= population of a town which is chosen to be 5,000 M= 250 (rate of population growth) T= amount of years gone by in order to determine population growth. and B= known population number when T=0.
I figured out that part of the equation, but now they want us to find how many years it will take the population to approximate 7,000 people.
I thought about using this equation P=250/t+5,000, but I don't know if that makes sense. I don't know what equation to use or how to solve it.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! equation is:
P = MT + B where:
M is the rate of growth
P is the population when T = 0.
If the population of the town is chosen to be 5000, then that makes B = 5000
If the rate of the population growth = 250, then M = 250
your equation should be:
P = 250*T + 5000
T is the number of years.
for the population to reach 7000, your formula needs to be:
7000 = 250*T + 5000
subtract 5000 from both sides of this equation to get:
2000 = 250*T
divide both sides of this equation by 250 to get:
2000/250 = T
simplify to get:
T = 8
It would take 8 years for the population that starts at 5000 to reach 7000 if it grows at a rate of 250 people per year.
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