Respuesta :
Given the function that represents the average test score in your math class:
f(x) = 0.2x + 79
where x is the number of tests taken
g(x) represents the average test score in your science class.
Given the table:
x g(x)
1 86
2 84
3 82
A) the test average for your math class after completing test 2:
f(x) = 0.2x + 79
After test 2, we have:
f(2) = 0.2(2) + 79
= 0.4 + 79
= 79.4
Therefore, 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:
Since x is the number of tests taken, we have:
From the table
g(2) = 84
Therefore, the test average for your science class after completing test 2 is 84
C) Which class had a higher average after completing test 4:
For math class:
f(4) = 0.2(4) + 79
= 0.8 + 79
= 79.8
The test average for math class after test 4 is 79.8
For Science class:
g(4) = 80
This is because from the table, after each test the value decreases by 2. So, after test 3, g(3) = 82
g(4) = 82 -2 = 80
The test average for science class after test 4 is 80
Therefore, the class that had a higher average after completing test 4 is Science class with a score of 80 which is greater than that of math class with a score of 79.8
ANSWER:
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
