Question

HELPPPPPP

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)

Answer 1

Maths Class

PA: To determine the test average for the maths class after completing test 2, we substitute x = 2 into the function f(x) = 0.2x + 79 and evaluate:

• f(2) = 0.2(2) + 79 = 79.4

Therefore, the test average for the maths class after completing test 2 is 79.4.

Science Class

PB: To determine the test average for the science class after completing test 2, we look at the given value of g(2), which is 84. Therefore, the test average for the science class after completing test 2 is 84.

Classes

PC: To compare the test averages of the two classes after completing test 4, we need to evaluate f(4) and g(4) and compare the results.

• f(4) = 0.2(4) + 79 = 79.8
• g(4) = 82

Therefore, the science class had a higher average after completing test 4, since g(4) = 82 is greater than f(4) = 79.8.