Question

3.4
stephen recorded the number of calories he had consumed during a twenty - four hour period in the table below.

time (hours)	3	6	9	12	15	18	21	24

which line graph represents the information in the table?
(then there are four line graphs labeled w, x, y, z, and four options a - d corresponding to w, y, x, z respectively)

Explanation:

1. First, analyze the table data: At time 3 hours, calories are 200; at 6 hours, 500; at 9 hours, 600; at 12 hours, 1000; at 15 hours, 1300; at 18 hours, 1600; at 21 and 24 hours, 1700.
2. Check each graph:

• Graph W: The values at early times don't match (e.g., at 3 hours, the point in W is too low compared to 200).
• Graph Y: Let's check key points. At 3h (200), 6h (500), 9h (600), 12h (1000), 15h (1300), 18h (1600), 21h (1700), 24h (1700) – these match the table.
• Graph X: The slope and values at some points (like 12h) don't align with the table.
• Graph Z: The progression of values (e.g., at 9h, 12h) doesn't match the table's data. So Y is the correct graph.

Answer:

B. Y