Answer:
Part A: The test average for the math class after completing 2 tests is 81
Part B: The test average for the science class after completing 2 tests is 83
Part C: The science class had the higher average test score after completing the test 4.
Step-by-step explanation:
The average test score for math class is given by the linear function, f(x) = 0.5·x + 80
The data for the average test score for science g(x) are;
x, q(x)
1, 81
2, 83
3, 85
Part A: The average test score for math after completing test 2 is given as follows;
f(2) = 0.5×2 + 80 = 81
∴ The test average for the math class after completing 2 tests = 81
Part B:
The average test score for science after completing test 2 is given from the table as at x = 2, g(2) = 83
∴ The test average for the science class after completing 2 tests = 83
Part C: After completing 4 tests, we have for the math class, f(4) = 0.5×4 + 80 = 82
For the science class, it is observed that common difference between each subsequent test score average is 2, therefore, the average test score, for the fourth test is 2 added to the average test score after the third test, which gives;
Average test score, after completing the fourth test for the science class, g(4) = 85 + 2 = 87
Since g(4) > f(4) the science class had the higher average test score after completing the test 4.
