Question

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Answer 1

Answer:

As x approaches positive infinity, the average salary for science and engineering faculty will eventually be greater than the average salary for arts and humanities faculty.

Step-by-step explanation:

First consider the f(x) values on the graph as x increases on the interval 0 to 10 years. The average salary increases over the entire interval and reaches a maximum value of approximately $66,000.

Next create a table to show the values for function g.

 

0 16,188

1 18,366

2 21,101

3 25,000

4 40,000

5 55,000

6 58,899

7 61,634

8 63,811

9 65,650

10 67,257

The maximum value of function g is greater than the maximum value of function f. Therefore, as x approaches positive infinity, the average salary for science and engineering faculty will eventually be greater than the average salary for arts and humanities faculty.