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

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.
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Answer 1

To interpret the slope of the line connecting the points (0, 5) and (5, 8) on the graph, we first calculate the slope. The slope (m) is determined by the formula:

\[ m = \frac{\text{change in } y}{\text{change in } x} \]

In this case:

• The change in \( y \) (number of books read) from 5 to 8 is \( 8 - 5 = 3 \).
• The change in \( x \) (time in weeks) from 0 to 5 is \( 5 - 0 = 5 \).

So the slope is:

\[ m = \frac{3}{5} \]

This slope of \( \frac{3}{5} \) means that for every 5 weeks, the person reads 3 additional books.

Therefore, the correct interpretation of the slope in whole numbers is:

Someone reads 3 books every 5 weeks.