Final answer:
The rate of increase for the population growth represented by the function f(t)=50(1.25)ᴇ is 25% per time period.
Step-by-step explanation:
The rate of increase for the population growth in a particular city, using the function f(t)=50(1.25)ᴇ, can be identified by looking at the base of the exponential 1.25. This figure represents the growth factor per unit of time. Since the population multiplies by 1.25 for each time period, the growth rate can be calculated by subtracting 1 from this growth factor and expressing the result as a percentage.
To find the rate of increase, the calculation would be as follows: (1.25 - 1) x 100%, which equals 0.25 x 100% or 25%. Therefore, the rate of increase is 25% per time period (assuming that 't' is measured in years).