Question

The linear function f(x) = 0.9x + 79 represents the average test score in your math class, where x is the number of the test taken. The linear function g(x) represents

the average test score in your science class, where x is the number of the test taken.
x g(x)
1 78
2 79
3 80
Part A: Determine the test average for your math class after completing test 2 (2 points)
Part B: Determine the test average for your science class after completing test 2. (2 points)
Part C: Which class had a higher average after completing test 4? Show work to support your answer (6 points)

Answer 1

Part A: To find the average test score in math after test 2, plug in x=2 into the function f(x). So, f(2) = 0.9*2 + 79 = 1.8 + 79 = 80.8

Part B: The average test score in science after completing test 2 is given directly by g(2), which is 79.

Part C: To find out which class had a higher average after test 4, we first need to calculate f(4) for the math class. f(4) = 0.9*4 + 79 = 3.6 + 79 = 82.6

For the science class, we can see a pattern where the average increases by 1 with each test. So, g(4) would be 81.

Therefore, the math class had a higher average after completing test 4.