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A company is testing two computer algorithms to make large files smaller, a process called compression. When given the size of the file in gigabytes, x, the amount of time in minutes, S, for the standard algorithm to compress a file is shown below with a dashed curve. The amount of time in minutes to use a new algorithm for this same process is given by the function N, which is shown below with a solid curve. Which of the following statements is true? (1} in minutes) Time ( 0 1 2 3 4 5 6 7 8 9 10 File Size (in gigabytes) C) The instantaneous rate of change at 3 gigabytes is larger for the new algorithm. C) The instantaneous rate of change at 3 gigabytes is larger for the standard algornthm. C) The instantaneous rate of change for both algorithms is the same speed at 5 gigabytes. C) The new algorithm will always have a larger instantaneous rate of change compared to the standard algorithm