SOLUTION: 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

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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