Question

City A has a current population of 156289 residents and has an annual growth of 146 residents. City B has a current population of 151293 and has an annual growth of 363 residents. Write an equation to determine how many years(y) willit take for city A and City B to have the same population

Answer 1

Let's denote the number of years as \( y \). The population growth for each city can be expressed as a linear equation. For City A:

\[ \text{Population of City A} = 156289 + 146y \]

And for City B:

\[ \text{Population of City B} = 151293 + 363y \]

To find when they have the same population, set the two equations equal to each other:

\[ 156289 + 146y = 151293 + 363y \]

Now, solve for \( y \) to determine the number of years it will take for City A and City B to have the same population.