To find the graph that shows the relationship between the number of minutes Willow has been reading and the page number she is on, we first need to determine how the page number increases relative to the time spent reading.
Willow starts on page 15. She reads 2 pages per minute. Therefore, the page number after t minutes can be described with the equation:
\[ \text{Page Number} = 15 + 2t \]
Where:
- Page Number is represented on the y-axis.
- t (number of minutes) is represented on the x-axis.
At t = 0 (when she just starts), the page number is:
\[ 15 + 2(0) = 15 \]
At t = 1 (after 1 minute), the page number is:
\[ 15 + 2(1) = 17 \]
At t = 2 (after 2 minutes), the page number is:
\[ 15 + 2(2) = 19 \]
And so on. The page number will continue increasing linearly with a slope of 2.
The graph we are looking for should:
- Start at the point (0, 15) when t = 0.
- Show a linear increase with a slope of 2 as t increases.
Since there is no explicit drawn description of the graphs provided, the graph should have a y-intercept at 15 and show a ray extending upward (indicating continuous reading), which may intersect further points at (1, 17), (2, 19), (3, 21), etc., following that linear pattern.
Based on that, you would look for a graph that starts at the point (0, 15) and has a slope of 2 upwards, rather than any graph starting at a different y-value or displaying a downward or non-linear trend. If any of the options describe that accurately, that's the one you should select.