15 PINTS!!!!!!!!! PLZ HELP!!!!!!!! The linear function f(x) = 0.5x + 80 represents the average test score in your math class, wh

Answer:

Part A: The average score for the math class after two tests is 81

Part B: The average score for the science class after two tests is 83

Part C: The science class achieved a higher average test score after test 4.

Step-by-step explanation:

The math class's average score is represented by the function, f(x) = 0.5·x + 80

The data for the average test score for science g(x) is:

x, q(x)

1, 81

2, 83

3, 85

Part A: The average for math after the second test can be calculated as follows;

f(2) = 0.5×2 + 80 = 81

Thus, the average score for the math class after the second test = 81

Part B:

The average score in science after two tests comes from the table at x = 2, g(2) = 83

Thus, the average score for the science class after completing 2 tests = 83

Part C: After completing 4 tests, the math class's average is found with f(4) = 0.5×4 + 80 = 82

For the science class, there is a constant difference of 2 between each average, so the score for the fourth test is obtained by adding 2 to the average of the third test, resulting in;

Average score after test 4 for science class, g(4) = 85 + 2 = 87

Since g(4) > f(4), the science class outscored the math class after test 4.