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Day
(t) No. of Calories
Burned
C(t)
2 314
4 356
6 370
8 386
10 405
12 442
14 516
Amanda goes to the gym every day and cross–trains. Based on a chart at the gym showing the calories expended for various activities, Amanda has kept track of the number of calories she has burned over the last two weeks. She wants to find the rate at which she burned calories on day 8. That is, she needs to find C'(8). Estimate the value.
A.
8.00 calories per day
B.
8.75 calories per day
C.
17.50 calories per day
D.
17.75 calories per day
Answer: In photo below
You're Welcome :)

[SOLVED] Day (t) No. of Calories Burned C(t) 2 314 4 356 6 370 8 386 10 405 12 442 14 516 Amanda goes to the gym every day and cross–trains. Based on a chart at the gym showing the calories expended for various activities, Amanda has kept track of the number of calories she has burned over the last two weeks. She wants to find the rate at which she burned calories on day 8. That is, she needs to find C'(8). Estimate the value. A. 8.00 calories per day B. 8.75 calories per day C. 17.50 calories per day D. 17.75 calories per day Answer: In photo below You're Welcome :)
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Accepted Answer

If she wants to find the rate at which she burned calories on day 8. C'(8) is: B. 8.75 calories per dayHow to find the calories per day?First step is to find the upper and lower values for the burned calories on day 8.Upper value (C'(8) =  405 - 386 /2Upper value C'(8) = 19/2Upper value C'(8) = 9.5Lower value C'(8) = 386 -370/2Lower value C'(8) = 16/2Lower value C'(8) = 8Now let find C'(8)C'(8) = 9.5+8/2C'(8) = 17.5/2C'(8) = 8.75 calories per dayTherefore the correct option is B.Learn more about calories per day here:https://brainly.com/question/28536391#SPJ1