Answered

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

[tex]\[
\begin{tabular}{|l|l|l|l|}
\hline
Technology & Electronic Ink & Liquid Crystal Display (LCD) & Interferometric Modulator Display (IMOD) \\
\hline
Appearance & Black and White & Color & Color \\
\hline
Average Battery Life & 40 days & 10 hours & 5 days \\
\hline
\end{tabular}
\][/tex]

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

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Answer :

To determine how much more energy efficient the IMOD technology is compared to the LCD technology, we can look at their battery lives. The battery life for the IMOD technology is given as 5 days, while the battery life for the LCD technology is given as 10 hours. To make a fair comparison, we need to convert both battery lives to the same unit of time. We'll convert the battery lives to days.

1. First, convert the battery life of the LCD technology from hours to days:
- There are 24 hours in a day.
- Battery life of LCD = 10 hours
- Convert hours to days: [tex]\( \frac{10 \text{ hours}}{24 \text{ hours/day}} = 0.4166666666666667 \text{ days} \)[/tex]

2. Now we compare the battery life of the IMOD technology (5 days) to the battery life of the LCD technology (0.4166666666666667 days):

[tex]\[ \text{Efficiency ratio} = \frac{\text{Battery life of IMOD}}{\text{Battery life of LCD}} \][/tex]

3. Substituting the values:

[tex]\[ \text{Efficiency ratio} = \frac{5 \text{ days}}{0.4166666666666667 \text{ days}} = 12 \][/tex]

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