To find the population of a city next year, we multiply its current population by 1.046. By what percent does the population increase per year?

Answer 1

To find out the percent increase in the population per year, we can use the multiplication factor by which the population is multiplied.

The population next year is calculated as: \[ \text{Next Year's Population} = \text{Current Population} \times 1.046 \]

This means that the population is increased by a factor of \(1.046\). To find the percent increase, we subtract \(1\) from the factor and then multiply by \(100\) to convert it to a percentage.

The calculation is as follows: \[ \text{Percent Increase} = (1.046 - 1) \times 100 \] \[ \text{Percent Increase} = 0.046 \times 100 = 4.6% \]

Thus, the population increases by 4.6% per year.