Willow is rereading her favorite book. She starts the day on page 15. Looking at the clock, she realizes that she can read 2 pages every minute. Choose the sketch of a graph that shows the relationship between the number of minutes Willow has been reading today and the page number she is on.(1 point) Responses Image with alt text: 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 a plotted closed circle are left parenthesis 0 comma 2 right parenthesis. An upward slanting arrow extends from the plotted point and passes through left parenthesis 6 comma 92 right parenthesis Image with alt text: 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 left parenthesis 0 comma 15 right parenthesis. An upward slanting arrow extends from the plotted point and passes through left parenthesis 30 comma 75 right parenthesis. Image with alt text: 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 a plotted closed circle are left parenthesis 2 comma 0 right parenthesis. An upward slanting arrow extends from the plotted point and passes through left parenthesis 8 comma 90 right parenthesis. Image with alt text: 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 a plotted closed circle are left parenthesis 2 comma 0 right parenthesis. An upward slanting arrow extends from the plotted point and passes through left parenthesis 8 comma 90 right parenthesis. Skip to navigation

Answer 1

To solve this problem, we need to determine the relationship between the number of minutes Willow has been reading and the page number she is on.

1. Starting Point: Willow starts on page 15.
2. Reading Speed: She reads 2 pages every minute.

Thus, after \( m \) minutes of reading, the number of pages she has read is \( 2m \), and her current page number would be:

\[ \text{Page number} = 15 + 2m \]

Now, let's analyze this function:

• At 0 minutes: She is on page \( 15 + 2 \times 0 = 15 \).
• At 1 minute: She is on page \( 15 + 2 \times 1 = 17 \).
• At 2 minutes: She is on page \( 15 + 2 \times 2 = 19 \).
• At 3 minutes: She is on page \( 15 + 2 \times 3 = 21 \).
• Continuing this pattern, after 30 minutes: She will be on page \( 15 + 2 \times 30 = 75 \).

From the above analysis, we can plot this data. The point (0, 15) indicates the starting page at time zero. The line will have a slope of 2 (because she reads 2 pages each minute) which means it will increase steadily as time goes on.

Given these details, the correct sketch of the graph should start from the point (0, 15) and have a line that continues upward through the coordinates, correctly representing the page number increasing with the minutes elapsed.

Among the options you provided, the sketch that shows the plotted point as (0, 15) with a line indicating an increasing relationship (an upward slanting ray) is the correct one.

So, the correct choice is the sketch with the coordinates of the plotted closed circle being (0, 15) and an upward slanting arrow that passes through points like (30, 75).