Question
Agent Hunt is transferring classified files from the CIA mainframe into his flash drive. \( S \) represents the size of the files on the drive (in megabytes) after \( t \) seconds. \( S=5 t+45 \) How many megabytes are transferred every 10 seconds? megabytes
Ask by Garza Pritchard. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
50 megabytes are transferred every 10 seconds.
Solution
To determine how many megabytes are transferred every 10 seconds using the given linear equation:
\[ S = 5t + 45 \]
where:
- \( S \) is the size of the files on the drive in megabytes.
- \( t \) is the time in seconds.
**Step-by-Step Solution:**
1. **Understand the Equation:**
- The equation \( S = 5t + 45 \) represents the total size on the drive after \( t \) seconds.
- The coefficient of \( t \) (which is 5) indicates the rate at which data is being transferred, i.e., 5 megabytes per second.
2. **Calculate the Amount Transferred in 10 Seconds:**
- To find out how much data is transferred in 10 seconds, multiply the transfer rate by the time:
\[
\text{Data Transferred} = 5 \, \text{MB/s} \times 10 \, \text{seconds} = 50 \, \text{MB}
\]
**Conclusion:**
**50 megabytes** are transferred every 10 seconds.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
In the equation \( S = 5t + 45 \), the term \( 5t \) indicates that for every second that passes, 5 megabytes are being transferred. Therefore, if we consider a 10-second interval, we can calculate the transfer as follows: \( S(10) = 5(10) + 45 = 50 + 45 = 95 \) megabytes in total. The increase from \( t = 0 \) to \( t = 10 \) gives us \( S(10) - S(0) = 95 - 45 = 50 \) megabytes transferred in that period. Thus, Agent Hunt is transferring 50 megabytes every 10 seconds!
