A city had a population of 2,425 and was growing by 27 residents per year. City B had a population of 1,813 and was growing by 63 residents per year. If this continues, how many years will it take for them to be the same?

17 years

Step-by-step explanation:

In order to calculate this, we need to create an equality equation. In this scenario, we have the fixed values which are the total population and the rate of growth, and we also have one variable which is the number of years. We can use these values to create the following equation.

2,425 + 27x = 1,813 + 63x

Now that we have the equation we can solve for x to calculate how many years it will take for them to be the same population.

2,425 + 27x = 1,813 + 63x   ... subtract 1,813 and 27x from both sides

612 = 36x   ... divide both sides by 36

17 = x

Finally, we can see that both populations will be the same after 17 years.

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.