Question

The linear function f(x)=0.2x+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 your science class, where x is the number of the test taken.

Part A: Determine the test average for your math class after completing test 2.
Part B: Determine the test average for your science class after completing test 2.
Part C: Which class had a higher average after completing test 4?

Answer 1

The average test score for the math class after completing test 2 is 79.4 using the function f(x) = 0.2x + 79. The average for the science class after test 2 cannot be determined without the function g(x). Comparison after test 4 is not possible without g(x).

The student is tasked with determining the average test scores after taking the second test in both math and science classes using given linear functions, and then comparing the averages after the fourth test.

Part A

For the math class, substitute x = 2 into the function f(x) = 0.2x + 79 to get the average after test 2:
f(2) = 0.2(2) + 79 = 0.4 + 79 = 79.4.

Part B

The function for the science class, g(x), is not provided, so we cannot determine g(2) without additional information.

Part C

Without the function g(x), we cannot compare the averages after test 4 between math and science classes. We would need the specific function for g(x) to make this comparison.