Question

In 1990, jamaica's population of 2,466,000 was expected to grow exponentially by 1.1% each year. what is the range of the exponential function that describes this growth? all real numbers

Answer 1

The range of the exponential function describing Jamaica's population growth is all real numbers greater than 0, considering that population cannot be negative and can grow indefinitely if the growth rate remains constant.

Step-by-step explanation:

The range of the exponential function that describes Jamaica's population growth is all real numbers greater than 0. This is because an exponentially growing quantity can increase without bound, but it cannot be negative as population numbers cannot fall below zero.

An exponential growth model is defined by the equation P(t) = P0ert, where:

In this case, P0 is 2,466,000, r is 0.011 (1.1% as a decimal), and t will vary based on how many years into the future we're looking. The function only provides values for the population, all of which are positive, and will theoretically continue to grow as long as time progresses. Therefore, the range is all positive real numbers.