Question

Put the following equation in function notation using (a) as the independent variable:

-6n + 8a = 8a + 6
Which of the following represents the function f(a)?
A) f(a) = -1 + 8a/3
B) f(a) = -8a/3 - 1
C) f(a) = -12
D) f(a) = -1

Answer 1

The given equation is simplified by removing like terms and solving for the dependent variable n, which results in n = 1. Therefore, in function notation with a as the independent variable, the correct function is f(a) = -1, corresponding to option D).

Step-by-step explanation:

To rewrite the given equation -6n + 8a = 8a + 6 in function notation with a as the independent variable, we want to solve for n which will be our dependent variable and represented as f(a).

First, we isolate n on one side of the equation:

• -6n + 8a = 8a + 6
• -6n = 6 (since 8a on both sides cancel each other out)
• n = -6 / -6
• n = 1

So, the function notation f(a) with a as the independent variable is f(a) = -1, which makes option D) the correct choice.