Question

Question

Use the image to answer the question.

A graph shows a horizontal axis representing time in weeks ranging from 0 to 10 in increments of 1. The vertical axis represents number of books read ranging from 0 to 10 in increments of 1. Two plotted points are: left parenthesis 0 comma 5 right parenthesis, left parenthesis 5 comma 8 right parenthesis. These points are joined by a straight line with arrows on both the ends.

Interpret the slope in the context of this situation. Give the most simplified rate using whole numbers.

(1 point)
Responses

Someone is reading 5 books every 3 weeks.
Someone is reading 5 books every 3 weeks.

Someone reads 3 books every 5 weeks.
Someone reads 3 books every 5 weeks.

Someone read 5 books in a week.
Someone read 5 books in a week.

Someone had 5 weeks to read a book.
Someone had 5 weeks to read a book.
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Answer 1

To determine the slope of the line in the context of the situation, we can analyze the two given points: (0, 5) and (5, 8).

The slope is calculated as the change in the vertical axis (number of books read) divided by the change in the horizontal axis (time in weeks):

1. Change in the number of books read: 8 - 5 = 3 books.
2. Change in time (weeks): 5 - 0 = 5 weeks.

So, the slope is:

\[ \text{slope} = \frac{\text{Change in books read}}{\text{Change in weeks}} = \frac{3 \text{ books}}{5 \text{ weeks}} = \frac{3}{5} \]

This means that someone reads 3 books every 5 weeks.

Thus, the correct interpretation is:

Someone reads 3 books every 5 weeks.