Certainly! Let's break down the problem step by step.
### 2.3.1 How long does it take to download 7 kilobytes of data if 1 kilobyte takes 0.005 seconds?
To find how long it takes to download 7 kilobytes, we'll use the given download time per kilobyte:
1. We know that 1 kilobyte (KB) takes 0.005 seconds to download.
2. Therefore, for 7 kilobytes, the time needed will be:
[tex]\[
7 \text{ KB} \times 0.005 \text{ seconds/KB} = 0.035 \text{ seconds}
\][/tex]
It takes 0.035 seconds to download 7 kilobytes.
### 2.3.2 How many kilobytes can be downloaded in [tex]\(\frac{1}{2}\)[/tex] minute?
First, we need to convert the time from minutes to seconds:
1. Half a minute is:
[tex]\[
0.5 \text{ minutes} \times 60 \text{ seconds/minute} = 30 \text{ seconds}
\][/tex]
Now, we need to find out how many kilobytes can be downloaded in 30 seconds, given that 1 kilobyte takes 0.005 seconds to download.
2. The number of kilobytes that can be downloaded in 30 seconds is calculated by dividing the total available time by the time it takes to download 1 kilobyte:
[tex]\[
\frac{30 \text{ seconds}}{0.005 \text{ seconds/KB}} = 6000 \text{ KB}
\][/tex]
Therefore, you can download 6000 kilobytes in half a minute.