Question

The linear function F(X)=0.2X+79 represents the average test score in your math class where X is the number of tests taken. The linear function G(X) represents the average test score in your science class where X is the number of tests taken. Determine the test average for your math class after completing 5 tests, and determine the test average for your science class after completing 8 tests. Which class has a higher average?

a) Math: 80, Science: 83
b) Math: 80.6, Science: 82.2
c) Math: 78, Science: 84
d) Math: 81, Science: 80

Answer 1

To determine the test average for the math class after completing 5 tests, we substitute X = 5 into the linear function F(X) = 0.2X + 79, resulting in a test average of 80. Unfortunately, we do not have enough information to determine the test average for the science class.

Step-by-step explanation:

To determine the test average for the math class after completing 5 tests, we substitute X = 5 into the linear function F(X) = 0.2X + 79. This gives us F(5) = 0.2(5) + 79 = 1 + 79 = 80. Therefore, the test average for the math class after completing 5 tests is 80.

To determine the test average for the science class after completing 8 tests, we substitute X = 8 into the linear function G(X). Unfortunately, the equation for G(X) was not provided, so we cannot calculate the test average for the science class.

Therefore, based on the given information, we can only determine the test average for the math class after completing 5 tests, which is 80. Since we do not have the test average for the science class, we cannot compare the averages to determine which class has a higher average.