Question

Question 2 Part C (2.02, 2.05): The linear function f(x) represents the average test score in your language arts class, where x is the number of the test taken. The linear function g(x) represents the average test score in your social studies class, where x is the number of the test taken.

Answer 1

f(x)

Explanation:

`f(4)=0.3(4)+80=81.2 \\ \\ \\ (g(3)-g(2))/(3-2)=(81-83)/(1)=-2 \\ \\ \therefore g(x)-85=-2(x-1) \\ \\ g(x)=-2x+2+85=-2x+87 \\ \\ g(4)=-2(4)+87=79 \\ \\ \therefore f(4)>g(4) \implies \boxed{f(x)}`