For the first question regarding the student reading 24 books in 15 weeks, we need to determine the rate of reading, which can be expressed as the number of books read per week. To find the slope (rate), we can calculate it:
\[ \text{slope} = \frac{\text{Number of books}}{\text{Number of weeks}} = \frac{24 \text{ books}}{15 \text{ weeks}} = \frac{24}{15} = \frac{8}{5} = 1.6 \text{ books per week} \]
The graph that best models this rate would have a slope of 1.6, meaning for every week on the x-axis, the value on the y-axis increases by 1.6 books.
You would choose the graph that shows this positive linear relationship.
For the second question, you need to solve the equation:
\[ 2x + 5 = 17 \]
First, subtract 5 from both sides:
\[ 2x = 17 - 5 \]
\[ 2x = 12 \]
Then, divide both sides by 2:
\[ x = \frac{12}{2} = 6 \]
So, the correct response for the second question is:
x = 6
If you have specific graphs for Question 1, I can help you assess them based on the slope we calculated.