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
382
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)

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akposevictor akposevictor · Answer 1 · 2022-07-13T17:30:43+02:00

Using linear function:

A. f(2) = 79.4

B. g(2) = 84

C. Science class had the higher average after test 4.

We are given the linear function for test score for Math class as, f(x) = 0.2x + 79.

Find the slope (m) and y-intercept (b) for function g(x) for science class.

Using (1, 86) and (2, 84):

Slope (m) = change in y/change in x = (86 - 84)/(1 - 2) = -2

Substitute m = -2 and (x, y) = (1, 86) into y = mx + b to find b:

86 = -2(1) + b

86 + 2 = b

88 = b

b = 88

Substitute m = -2 and b = 88 into g(x) = mx + b:

g(x) = -2x + 88

Part A: Substitute x = 2 into f(x) = 0.2x + 79

f(2) = 0.2(2) + 79 = 79.4

Part B: Substitute x = 2 into g(x) = -2x + 88

g(2) = -2(2) + 88 = 84

Part C: Substitute x = 4 into f(x) = 0.2x + 79 and g(x) = -2x + 88 respectively

f(4) = 0.2(4) + 79 = 79.8

g(4) = -2(4) + 88 = 80

Science class had the higher average after test 4.

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