Question

Please help. click picture to get rest of question. zoom in if needed 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.

Answer 1

Explanation:

Part A.

f(x) gives us the average test score, so to calculate the average test score n your math class after test 2, we need to replace x by 2 in f(x), then:

$\begin{gathered} f(x)=0.2x+79 \\ f(2)=0.2\cdot2+79 \\ f(2)=79.4 \end{gathered}$

Therefore, the test average for your math class is 79.4

Part B.

To find the test average for your science class after test 2, we need to know what is the value of g(x) when x is equal to 2.

Since g(x) is 84 when x is 2, the test average for your science class is 84.

Part C.

After completing test 4, the average of the math class is:

$\begin{gathered} f(4)=0.2\cdot4+79 \\ f(4)=79.8 \end{gathered}$

On the other hand, we can see that after a new test, the average of the science class g(x) decreases by 2. So, after completing test 4 g(x) will be