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)

(a) The test average for your math class after completing test 2 is 79.4.

(b) The test average for your science class after completing test 2 is 84.

(c) Science class had a higher average after completing test 4.

Step-by-step explanation:

We are given that 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

(a) The test average for your math class after completing test 2 is given by;

The linear function that represents the average test score in your math class is f(x) = 0.2x + 79.

So, f(2) =

      f(2) = 0.4 + 79 = 79.4

So, after completing 2 tests of math, the average test score is 79.4.

(b) The test average for your science class after completing test 2 is given by;

The linear function that represents the average test score in your science class is represented in table above.

So, g(2) = 84   {by looking at the table corresponding value to x = 2}

Hence, after completing 2 tests of science, the average test score is 84.

(c) The test average for your math class after completing tests 4 is given by;

The linear function that represents the average test score in your math class is f(x) = 0.2x + 79.

So, f(4) =

      f(4) = 0.8 + 79 = 79.8

So, after completing 4 tests of math, the average test score is 79.8.

The linear function that represents the average test score in your science class is represented in the table above.

So, g(4) = 80   {by looking at the table above in which each value is decreasing by 2 units, so the value at x = 4 will be 80}

Hence, after completing 4 tests of science, the average test score is 80.

So, the science class had a higher average after completing test 4 as 80 > 79.8.

450 is the final answer! : )