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The table below compares the energy requirements of three display technologies for e-reader devices.

[tex]\[
\begin{tabular}{|l|l|l|l|}
\hline Technology & electronic ink & \begin{tabular}{l}
liquid crystal \\
display (LCD)
\end{tabular} & \begin{tabular}{l}
interferometric \\
modulator display (IMOD)
\end{tabular} \\
\hline Appearance & black and white & color & color \\
\hline \begin{tabular}{l}
Average \\
Battery Life
\end{tabular} & 40 days & 10 hours & 5 days \\
\hline
\end{tabular}
\][/tex]

Based on the table, IMOD technology is [tex]\(\square\)[/tex] times more energy efficient than LCD technology.

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Answer :

GinnyAnswer
To determine how many times more energy efficient IMOD technology is compared to LCD technology, follow these steps:

1. First, note the average battery life for each technology given in the table:
- LCD technology has an average battery life of 10 hours.
- IMOD technology has an average battery life of 5 days.

2. Convert IMOD technology's battery life from days to hours:
- 1 day = 24 hours.
- Therefore, 5 days = 5 * 24 = 120 hours.

3. Calculate the energy efficiency ratio by comparing the battery life in hours of IMOD to LCD:
- Energy Efficiency Ratio = [tex]\(\frac{\text{IMOD Battery Life (hours)}}{\text{LCD Battery Life (hours)}}\)[/tex]
- Plugging in the values we get:
[tex]\[ \text{Energy Efficiency Ratio} = \frac{120 \text{ hours}}{10 \text{ hours}} = 12 \][/tex]

4. Thus, IMOD technology is 12 times more energy efficient than LCD technology.

Based on the table, IMOD technology is [tex]\( \boxed{12} \)[/tex] times more energy efficient than LCD technology.

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