Table 13.1(a) shows the time in seconds that an SRT Viper requires to reach various speeds up to 100 mph. Table 13.1(b) shows the same data, but with speeds in miles per second.
(a) Fit a power model to the data in Table 13.1(b).
(b) Use a definite integral from 0 to 9.2 of the function you found in part (a) to find the distance
traveled by the Viper as it went from 0 mph to 100 mph in 9.2 seconds.

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TABLE 13.1 | (b) Speed (mi/s) (a) Speed (mph) Time Time (seconds) (seconds) 1.7 30 1.7 0.00833 2.4 40 2.4 0.01111 3.2 50 3.2 0.01389 4.1 60 4.1 0.01667 5.8 70 5.8 0.01944 6.2 80 6.2 0.02222 7.8 90 7.8 0.02500 9.2 100 9.2 0.02778