Using linear function:
A. f(2) = 79.4
B. g(2) = 84
C. Science class had the higher average after test 4.
<h3>How to Find the
Equation of a Linear Function?</h3>
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.
Learn more about linear function on:
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