To determine how many pages each printer prints per minute, we can analyze the given equations and the data from Printer B.
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Printer A: The equation for Printer A is given as \( y = 14x \).
- Here, \( y \) is the number of pages and \( x \) is the time in minutes.
- To find the rate of Printer A per minute, we can see that it prints 14 pages for every 1 minute.
- Therefore, Printer A prints 14 pages per minute.
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Printer B: We can calculate the printing rate for Printer B using the provided data:
- For example, for the time intervals given in the table:
- At 3 minutes, Printer B prints 48 pages → Rate = \( \frac{48 \text{ pages}}{3 \text{ minutes}} = 16 \text{ pages/min} \)
- At 5 minutes, Printer B prints 80 pages → Rate = \( \frac{80 \text{ pages}}{5 \text{ minutes}} = 16 \text{ pages/min} \)
- At 8 minutes, Printer B prints 128 pages → Rate = \( \frac{128 \text{ pages}}{8 \text{ minutes}} = 16 \text{ pages/min} \)
- At 12 minutes, Printer B prints 192 pages → Rate = \( \frac{192 \text{ pages}}{12 \text{ minutes}} = 16 \text{ pages/min} \)
From this calculation, we see that Printer B consistently prints 16 pages per minute.
- For example, for the time intervals given in the table:
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Comparing the Rates:
- Printer A prints 14 pages per minute.
- Printer B prints 16 pages per minute.
Based on these calculations, we can complete the statements:
- Printer A prints 14 pages per minute.
- Printer B prints 16 pages per minute.
- The printer that prints at a faster rate is Printer B.
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