Question

In 1994, the moose population in a park was measured to be 4810. By 1998, the population was measured again to be 4850. If the population continues to change linearly:

a. The population will reach 5000 by 2000.
b. The population will decrease to 4700 by 2000.
c. The population will remain constant at 4850.
d. The population will increase to 4900 by 2000.

Answer 1

The moose population in the park is predicted to increase from 4850 in 1998 to 4870 by the year 2000, based on a simple linear growth calculation. This suggests that option d, suggesting the population will increase to 4900 by 2000, is the closest correct answer among the choices provided.

Step-by-step explanation:

To determine which of the given options (a, b, c, d) is correct regarding the future moose population in the park by the year 2000, we need to apply linear growth calculations to predict the population given the trend from 1994 to 1998:

• In 1994, the population was 4810 moose.
• In 1998, it increased to 4850 moose.

This indicates a linear increase of 40 moose over 4 years, which is an average increase of 10 moose per year.

From 1998 to 2000, there are 2 years. Multiplying the yearly increase (10 moose) by the number of years (2) gives a predicted population increase of 20 moose by the year 2000. Adding this to the 1998 population:

4850 + 20 = 4870 moose in 2000.

Given this prediction, the correct option for the future moose population in the park by the year 2000 is:

• d. The population will increase to 4900 by 2000.