Final answer:
The function equation represented by the graph is f(x) = -5/2x + 4.
Step-by-step explanation:
The function equation represented by the graph is f(x) = -5/2x + 4.
Let's analyze the given options:
- f(x) = -5/2x + 8/5: This equation has a different y-intercept value than the graph, so it is not the correct answer.
- f(x) = -2/5x + 4: This equation has a different slope than the graph, so it is not the correct answer.
- f(x) = -5/2x + 4: This equation matches the slope and y-intercept of the graph, so it is the correct answer.
- f(x) = -4x + 8/5: This equation has a different slope than the graph, so it is not the correct answer.
Therefore, the correct function equation represented by the graph is f(x) = -5/2x + 4.