Please help me (please dont send links) 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 in your science class, where x is the number of the test taken.

x g(x)
1 86
2 84
3 82

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)

Part A

79.4

Part B

84

Part C

The science class

Step-by-step explanation:

The linear function representing the average test score in the math class, after taking x number of tests, f(x) = 0.2·x + 79

The science class average test score, after taking x number of tests, is given by the linear function g(x)

The values of g(x) are presented as follows;

x; 1, 2, 3

g(x); 86, 84, 82

Part A

By using the given function for the test average for the math class, f(x), when x = 2, we have;

f(2) = 0.2 × 2 + 79 = 79.4

The test average for the math class after completing test 2 = 79.4

Part B

The test average for the science class after completing test 2 from the table is 84

Part C

After completing test 4, the test average for the math class, f(4), is given as follows;

f(4) = 0.2 × 4 + 79 = 79.8

The test average for the science class after the completing test 4 is found by noting that the test average, g(x) decreases by 2 for each increase in the number of test taken, x, by 1

Given that the test average of the science, g(3) class after taking test 3 is 82, the test average after taking test 4, g(4) = g(3) - 2 = 82 - 2 = 80

g(4) = 80

Therefore, after completing test (4), the science class has a higher test average g(4) = 80, than the math class f(x) = 79.8

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