Question

which table of values matches the given graph?
a.
input | 2 | 4 | 6 | 8
output | 8 | 12 | 16 | 20
b.
input | 2 | 4 | 6 | 8
output | 8 | 12 | 14 | 20
c.
input | 8 | 12 | 16 | 20
output | 2 | 4 | 6 | 8
d.
input | 8 | 12 | 16 | 20
output | 2 | 4 | 6 | 7

Explanation:

Step1: Analyze the graph's coordinates

From the graph, the points seem to be at (2,8), (4,12), (6,16), (8,20) (matching input as x - value, output as y - value).

Step2: Compare with each option

• Option A: Input (x) 2,4,6,8 and Output (y) 8,12,16,20. This matches the coordinates from the graph.
• Option B: Output for x = 6 is 14, which doesn't match the graph's expected value (should be 16).
• Option C: Input and Output are reversed compared to the graph's x - y relationship.
• Option D: Input and Output are reversed and values don't match the graph.

Answer:

A. Input 2, 4, 6, 8; Output 8, 12, 16, 20