Mr. Harris graded papers at the end of the school day. The table below shows how many papers he graded in minutes.

\begin{tabular}{|c|c|}
\hline Minutes & Number of papers graded \\
\hline 5 & 2 \\
\hline 15 & 6 \\
\hline 35 & 14 \\
\hline 50 & 20 \\
\hline
\end{tabular}

At this rate, how many papers will Mr. Harris grade in 60 minutes?

A. 21 papers
B. 23 papers



Answer :

To determine how many papers Mr. Harris would grade in 60 minutes, we can analyze the data provided in the table. The table indicates the number of papers Mr. Harris graded at different time intervals. Here’s a step-by-step solution:

1. Understand the Data:
- In 5 minutes, Mr. Harris graded 2 papers.
- In 15 minutes, Mr. Harris graded 6 papers.
- In 35 minutes, Mr. Harris graded 14 papers.
- In 50 minutes, Mr. Harris graded 20 papers.

2. Determine the Grading Rate:
- To find the rate at which Mr. Harris grades papers, we can use the data. We will take the highest time interval provided, which is 50 minutes in which 20 papers were graded.
- Grading rate (papers per minute) = Number of papers graded / Time (in minutes).
- Grading rate = 20 papers / 50 minutes = 0.4 papers per minute.

3. Calculate the Number of Papers Graded in 60 Minutes:
- Using the grading rate, we calculate the estimated number of papers graded in 60 minutes.
- Estimated papers in 60 minutes = Grading rate 60 minutes.
- Estimated papers in 60 minutes = 0.4 papers per minute
60 minutes = 24 papers.

4. Conclusion:
- Based on the grading rate, Mr. Harris will grade 24 papers in 60 minutes.

Considering the final calculation, the number of papers Mr. Harris will grade in 60 minutes is 24 papers, which is neither 21 nor 23.