Question

which table of values matches the given graph? a. input 25 15 10 5 output 4 5 7 8 b. input 25 15 10 5 output 4 6 7 8 c. input 4 6 7 8 output 25 15 10 5 d. input 4 6 7 8 output 25 15 12 5

Explanation:

Step1: Analyze the graph's points

The graph has points at (4, 25), (6, 15), (7, 10), (8, 5). Here, \( x \) (input) values are 4, 6, 7, 8 and \( y \) (output) values are 25, 15, 10, 5.

Step2: Match with tables

• Option A: Inputs are 25,15,10,5 (reverse of graph's \( x \) values), Outputs don't match.
• Option B: Inputs are 25,15,10,5 (reverse), Outputs don't match.
• Option C: Inputs 4,6,7,8 (matches graph's \( x \)), Outputs 25,15,10,5 (matches graph's \( y \)).
• Option D: Output for input 7 is 12 (graph has 10), so incorrect.

Answer:

C. Input: 4, 6, 7, 8; Output: 25, 15, 10, 5