To find the correct graph representing Willow's reading progress, we first need to determine how the page number changes over time.
Willow starts at page 15 and reads 2 pages per minute. The relationship can be described mathematically as:
\[ \text{Page number} = 15 + 2 \times (\text{number of minutes}) \]
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At \( t = 0 \) minutes, she is on page 15: \[ \text{Page number} = 15 + 2 \times 0 = 15 \]
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At \( t = 1 \) minute, she is on page 17: \[ \text{Page number} = 15 + 2 \times 1 = 17 \]
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At \( t = 2 \) minutes, she is on page 19: \[ \text{Page number} = 15 + 2 \times 2 = 19 \]
Continuing this pattern, we see that for every minute that passes, her page number increases by 2.
To summarize:
- Starting point: (0, 15)
- The slope of the graph is 2 (rise/run = 2/1).
Now, we can analyze the options given for the graph:
- The graph should start at the point (0, 15) on the y-axis.
- It must be a linear graph with a positive slope.
Among the options provided, the correct graph is:
"A coordinate plane shows the x-axis, labeled as Number of Minutes, ranging from negative 2 to 30 in increments of 2, and the y-axis, labeled as Page Number, ranging from negative 5 to 100 in increments of 5. A ray extends from a plotted point. The coordinates of the plotted closed circle are (0, 15). An upward slanting arrow extends from the plotted point and passes through (30, 75)."
This graph correctly reflects that Willow starts at page 15 and reads more pages over time.