To estimate the slope of the tangent line at t = 15, we average the slopes of the adjacent secant lines for t = 10 and t = 20. As obtained in part (a), those slopes are msec = - 148.8 and msec = - 112.8, respectively. Therefore, the slope of the tangent line at t = 15 is as follows. (In the last step, round your answer to one decimal place.)

Question

Mathematics

Howard

10 July, 23:40

To estimate the slope of the tangent line at t = 15, we average the slopes of the adjacent secant lines for t = 10 and t = 20. As obtained in part (a), those slopes are msec = - 148.8 and msec = - 112.8, respectively. Therefore, the slope of the tangent line at t = 15 is as follows. (In the last step, round your answer to one decimal place.)

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Answers (1)

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Sofia Moran · Answer 1

-130.8

Step-by-step explanation:

The average of the two slope values is ...

(-148.8 - 112.8) / 2 = - 261.6/2 = - 130.8

The slope of the tangent line at t=15 is approximately - 130.8.