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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=5t+45
How many megabytes are transferred every 10 seconds?
megabytes

Agent Hunt is transferring classified files from the CIA mainframe into his flash drive.\newlineS S represents the size of the files on the drive (in megabytes) after t t seconds.\newlineS=5t+45 S=5 t+45 \newlineHow many megabytes are transferred every 1010 seconds?\newlinemegabytes

Full solution

Q. Agent Hunt is transferring classified files from the CIA mainframe into his flash drive.\newlineS S represents the size of the files on the drive (in megabytes) after t t seconds.\newlineS=5t+45 S=5 t+45 \newlineHow many megabytes are transferred every 1010 seconds?\newlinemegabytes
  1. Identify formula and question: Identify the given formula and what is asked.\newlineThe formula given is S=5t+45S = 5t + 45, where SS represents the size of the files on the drive (in megabytes) after tt seconds. We need to find out how many megabytes are transferred every 1010 seconds.
  2. Determine size at start of interval: Determine the size of the files on the drive at the start of the 1010-second interval.\newlineTo find out how many megabytes are transferred every 1010 seconds, we need to calculate the size of the files at the beginning and at the end of a 1010-second interval. Let's start with the size at the beginning, which is when t=0t = 0 seconds.\newlineS=5(0)+45S = 5(0) + 45\newlineS=0+45S = 0 + 45\newlineS=45S = 45 megabytes
  3. Determine size at end of interval: Determine the size of the files on the drive at the end of the 1010-second interval.\newlineNow, we calculate the size of the files at the end of the 1010-second interval, which is when t=10t = 10 seconds.\newlineS=5(10)+45S = 5(10) + 45\newlineS=50+45S = 50 + 45\newlineS=95S = 95 megabytes
  4. Calculate difference in size: Calculate the difference in size to find out how many megabytes are transferred.\newlineThe number of megabytes transferred in 1010 seconds is the difference in size between the end and the beginning of the 1010-second interval.\newlineMegabytes transferred = Size at end - Size at beginning\newlineMegabytes transferred = 95 megabytes45 megabytes95 \text{ megabytes} - 45 \text{ megabytes}\newlineMegabytes transferred = 50 megabytes50 \text{ megabytes}

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