Question

stephen recorded the number of calories he had consumed during a twenty - four hour period in the table below. which line graph represents the information in the table? time (hours) calories 3 200 6 500 9 600 12 1000 15 1300 18 1600 21 1700 24 1700 (then there are four line graphs labeled w, y, x, z with axes time (hours) and daily calorie intake (calories), and multiple - choice options a (w), b (y), c (x), d (z))

Explanation:

Step1: Analyze the table data

The table gives time (hours) and corresponding calories: (3,200), (6,500), (9,600), (12,1000), (15,1300), (18,1600), (21,1700), (24,1700).

Step2: Check each graph

• Graph W: The points don't match the increasing trend (e.g., at 12 hours, the calorie value in W is too low compared to the table's 1000).
• Graph Y: The curve shape and values don't align with the table (e.g., at 18 hours, the calorie value in Y is not 1600).
• Graph Z: The values are too low (e.g., at 12 hours, Z's calorie is much less than 1000).
• Graph X: Plotting the table points (e.g., 3h→200, 6h→500, 9h→600, 12h→1000, 15h→1300, 18h→1600, 21h→1700, 24h→1700) shows that Graph X's line passes through or closely matches these points, following the increasing trend and correct calorie values at each time interval.

Answer:

X