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The formula for the size of a file that was downloaded over time 
t and at an average rate 
r is 
r*t.
Siena downloaded a file at a rate of 800 kilobytes per second for about 110 seconds.
What calculation will give us the estimated size of the file Siena downloaded, in megabytes?
Choose 1 answer:
(A) 
800*110*60
(B) 
800*(110)/(60)
(C) 
800*1000*110
(D) 
(800)/(1000)*110

The formula for the size of a file that was downloaded over time tt and at an average rate rr is rtr \cdot t. Siena downloaded a file at a rate of 800 kilobytes per second800 \text{ kilobytes per second} for about 110 seconds110 \text{ seconds}. What calculation will give us the estimated size of the file Siena downloaded, in megabytes? Choose 11 answer:\newline(A) 80011060800 \cdot 110 \cdot 60\newline(B) 80011060800 \cdot \frac{110}{60}\newline(C) 8001000110800 \cdot 1000 \cdot 110\newline(D) 8001000110\frac{800}{1000} \cdot 110

Full solution

Q. The formula for the size of a file that was downloaded over time tt and at an average rate rr is rtr \cdot t. Siena downloaded a file at a rate of 800 kilobytes per second800 \text{ kilobytes per second} for about 110 seconds110 \text{ seconds}. What calculation will give us the estimated size of the file Siena downloaded, in megabytes? Choose 11 answer:\newline(A) 80011060800 \cdot 110 \cdot 60\newline(B) 80011060800 \cdot \frac{110}{60}\newline(C) 8001000110800 \cdot 1000 \cdot 110\newline(D) 8001000110\frac{800}{1000} \cdot 110
  1. Identify Formula: Identify the formula to use for the calculation.\newlineThe formula given is rtr*t, where rr is the rate of download and tt is the time taken to download the file.
  2. Plug in Values: Plug in the values for rr and tt into the formula.\newlineSiena downloaded a file at a rate of 800800 kilobytes per second for about 110110 seconds.\newlineSo, r=800r = 800 kilobytes/second and t=110t = 110 seconds.
  3. Calculate Size: Calculate the size of the file in kilobytes.\newlineUsing the formula rtr*t, we get 800800 kilobytes/second * 110110 seconds == 8800088000 kilobytes.
  4. Convert to Megabytes: Convert the file size from kilobytes to megabytes.\newlineThere are 10001000 kilobytes in a megabyte. Therefore, to convert kilobytes to megabytes, we divide by 10001000.\newline8800088000 kilobytes ÷1000=88\div 1000 = 88 megabytes.
  5. Match with Choices: Match the calculation with the given choices.\newlineThe correct calculation is (800 kilobytes/second)×110 seconds/1000=88 megabytes(800 \text{ kilobytes/second}) \times 110 \text{ seconds} / 1000 = 88 \text{ megabytes}.\newlineThis matches with choice (B) 800×(110)/(60)800\times(110)/(60), if we recognize that the division by 6060 is incorrect and should be division by 10001000 to convert kilobytes to megabytes. Therefore, none of the given choices are correct.

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