Question

twin rivers has a population of 90,800, and its population has been increasing by 800 people each year. white stone has a population of 87,200, and its population has been increasing by 1,200 people each year. these trends in population change are expected to continue. which equation can you use to find t, the number of years it will take for the two cities to have the same population?\\(90,800 - 800t = 87,200 + 1,200t\\)\\(90,800 + 800t = 87,200 + 1,200t\\)how long will it take for the two cities to have the same population?simplify any fractions.years

Explanation:

Step1: Analyze population change

Twin Rivers: starts at 90,800, increases by 800 per year, so population after \( t \) years: \( 90800 + 800t \)
White Stone: starts at 87,200, increases by 1,200 per year, so population after \( t \) years: \( 87200 + 1200t \)
Set them equal: \( 90800 + 800t = 87200 + 1200t \)

Step2: Solve for \( t \)

Subtract \( 800t \) from both sides:
\( 90800 = 87200 + 400t \)

Subtract 87200 from both sides:
\( 3600 = 400t \)

Divide both sides by 400:
\( t = \frac{3600}{400} = 9 \)

Answer:

9