The table below shows the predicted number of words Janae can type, [tex]y[/tex], in [tex]x[/tex] minutes.

\begin{tabular}{|c|c|}
\hline
Time [tex](x[/tex], in minutes [tex])[/tex] & Words Typed [tex](y)[/tex] \\
\hline
5 & 150 \\
\hline
10 & 300 \\
\hline
15 & 450 \\
\hline
20 & 600 \\
\hline
\end{tabular}

Which describes the pattern in the table?

A. Janae types 25 words each minute.
B. Janae types 30 words each minute.
C. Janae types 145 words each minute.
D. Janae types 150 words each minute.



Answer :

To determine the number of words Janae types per minute, we need to identify the consistent pattern in the given data. Here’s a step-by-step approach:

1. Understand the problem: We need to calculate Janae's typing speed in terms of words per minute using the given data.

2. Identify the data points:
- At 5 minutes, Janae types 150 words.
- At 10 minutes, Janae types 300 words.
- At 15 minutes, Janae types 450 words.
- At 20 minutes, Janae types 600 words.

3. Calculate the words per minute:
- Using the data from 5 minutes and 150 words as a sample calculation:

[tex]\[ \text{Words per minute} = \frac{\text{Words typed}}{\text{Time}} = \frac{150 \text{ words}}{5 \text{ minutes}} \][/tex]

4. Perform the division:
[tex]\[ \text{Words per minute} = \frac{150}{5} = 30 \][/tex]

5. Check for consistency:
- At 10 minutes, 300 words:
[tex]\[ \frac{300 \text{ words}}{10 \text{ minutes}} = 30 \text{ words per minute} \][/tex]
- At 15 minutes, 450 words:
[tex]\[ \frac{450 \text{ words}}{15 \text{ minutes}} = 30 \text{ words per minute} \][/tex]
- At 20 minutes, 600 words:
[tex]\[ \frac{600 \text{ words}}{20 \text{ minutes}} = 30 \text{ words per minute} \][/tex]

Each calculation confirms the pattern holds true for all given data points.

6. Conclusion:
Janae consistently types at a rate of 30 words per minute across all time intervals.

Therefore, the correct statement is:
Janae types 30 words each minute.