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)

Respuesta :

Answer:

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

Answer:

Part A: 79.4

Part B: 84

Part C: The science class

Step by step Explanation:

Part A: The average test score for the math class after completing test 2 was 79.4. I used the equation given, which was f(x) = 0.2x + 79. I then replaced x with 2 and got the equation f(2) = 0.2(2)+79 = 79.4

Part B: The average test score for the science class after completing test 2 is 84.

Part C:

The average test score for the math class after completing test 4 was 79.8. I used the equation given, which was f(x) = 0.2x + 79. I then replaced x with 4, since we need the score for test 4. That would now make the equation f(4) = 0.2(4)+79 = 79.8.

The average test score for the science class after completing test 4 was 80. I found this by using the chart. In the chart, we see the average score decreases by 2 for every new test. For test 1, the score was 86. For test 2, the score was 84. For test 3, the score was 82. So that would make the score for test four 80.

The Science class had the greater average, weighing in at 80, while the math class was at a lower 79.8.

, Hope this helps :)

Have a great day!!