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 the higher average after completing test 4
Function f(x) is given as, f(x) = 0.2x + 79, find the g(x) using the given table.
First, find the slope (m) using (1, 86) and (2, 84):
Slope (m) = change in y / change in x = 84 - 86 / 2 - 1 = -2/1 = -2
Substitute m = -2 and (x, y) = (1, 86) into y = mx + b to find b
86 = -2(1) + b
86 = -2 + 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 to find the test average for your math class after completing test 2.
f(2) = 0.2(2) + 79 = 79.4
The test average for your math class after completing test 2 is: 79.4.
Part B: Substitute x = 2 into g(x) = -2x + 88 to find the test average for your science class after completing test 2.
g(2) = -2(2) + 88 = 84
The test average for your science class after completing test 2 is: 84.
Part C: Substitute x = 4 into both f(x) = 0.2x + 79 and g(x) = -2x + 88 respectively.
f(x) = 0.2(4) + 79 = 79.8 [math class]
g(x) = -2(4) + 88 = 80 [science class]
Science class had the higher average after completing test 4
Learn more about linear functions on:
https://brainly.com/question/15602982
#SPJ1
