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

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.