Question

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?
there are four line graphs labeled w, x, y, z.
the options are:
a. w
b. x
c. z
d. y

Explanation:

Step1: Analyze the table data

The table has time (hours) as \(x\)-values: 3, 6, 9, 12, 15, 18, 21, 24 and corresponding calories (y - values): 200, 500, 600, 1000, 1300, 1600, 1700, 1700.

Step2: Check the key points

• At \(x = 3\), \(y=200\); at \(x = 6\), \(y = 500\); at \(x=9\), \(y = 600\); at \(x = 12\), \(y=1000\); at \(x = 15\), \(y = 1300\); at \(x=18\), \(y = 1600\); at \(x=21\) and \(x = 24\), \(y=1700\).

Step3: Compare with the graphs

• For graph Z:
• At \(x = 3\) (around 3 on x - axis), the y - value is around 200.
• At \(x=6\), y is around 500.
• At \(x = 9\), y is around 600.
• At \(x=12\), y is around 1000.
• At \(x = 15\), y is around 1300.
• At \(x=18\), y is around 1600.
• At \(x = 21\) and \(x=24\), y is around 1700.
• The other graphs (W, X, Y) do not match the y - values at these x - points as accurately as graph Z. For example, graph W has a different rate of increase and different y - values at key x - points, graph X and Y also deviate from the table values at certain x - points.

Answer:

C. Z