Question

In 2000, Greenville had a population of 63,205 people. Greenville’s population increased by 2500 people each year. In 2000, Springfield had a population of 50,000 people. Springfields population increased by 9% each year. Write a function to represent each towns population, and determine in what year the populations were equal

Answer 1

year 6.6025 if there is no typo in your question and numbers are right.

Explanation:

G = 63205 + 2500x

S = 50000 + 4500x

since 9% of 50000 = 0.09(50000) = 4500

find when G = S

63205 + 2500x = 50000 + 4500x

subtract both sides by 2500x to move x terms to the right

63205 = 50000 + 2000x

subtract both sides by 50000 to move the number to the left, so we can get like terms on each side

13205 = 2000x

divide both sides by 2000

x = 6.6025