The linear function f(x) = 0.9x + 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 78
2 79
3 80

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)

WILL MARK U BRAINLEST

9514 1404 393

  A. 80.8

  B. 79

  C. math

Step-by-step explanation:

A. Fill in x=2 and evaluate the expression.

  f(2) = 0.9·2 +79 = 1.8 +79 = 80.8

After 2 tests, your math average is 80.8.

__

B. Read the value from the table for x=2:

  g(2) = 79

Your science test average is 79 after 2 tests.

__

C. For the math average, we fill in x=4 in the function and do the arithmetic:

  f(4) = 0.9·4 +79 = 3.6 +79 = 82.6

For the science score, we recognize that the score goes up 1 point for each test. Then the score after test 4 will be 80+1 = 81.

The math class average of 82.6 is higher than the science class average of 81 after 4 tests.

Additional comment

The averages in the two classes will be the same after 20 tests: 97.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)