Question

each year, the numbers of births in a certain county decreases by 3% of the number of births in the previous year in the county. which of the following functions best models how the number of births in the county changes over time?
decreasing exponential
decreasing linear
increasing exponential
increasing linear

Answer 1

The situation described involves the number of births decreasing by a constant percentage (3%) each year. This indicates a multiplicative change rather than an additive one, which is characteristic of exponential decay.

Since the number of births decreases over time at a rate proportional to the current number of births, the best model for this scenario is a **decreasing exponential** function.

So, the correct choice is **decreasing exponential**.