t (min) 10 5 20 25 30 V (gal) 680 444 245 115 27 (a) It P is the point (15, 245)
ID: 3283345 • Letter: T
Question
t (min) 10 5 20 25 30 V (gal) 680 444 245 115 27 (a) It P is the point (15, 245) on the graph of v, find the slopes of the secant lines PO when Q is the point on the graph with the folowing values. (Round your answers to one decimal place) slope 5, 680) 43.9 (10, 444) 376 (20, 115) 274 (25,27) 216 (30, 0)164 (b) Estimate the slope of the tangent line at p by averaging the slopes of two adjacent secant lines. (Round your answer to one donal place) 32.5 try again. To find the slope of a secant line, use the formula mpo t2-t1 or the best estimate of the slope in part () use the secant Bires whose endpoints are closest to the original pnExplanation / Answer
(a)
(1) (V2-V1)/(T2-T1) = (680-245)/(5-15) = -43.5
(2) (444-245)/(10-15) = -39.8
(3) (115-245)/(20-15) = 26
(4) (27-245)/(25-15) = -218/10 = -21.8
(b)
Slope of tangent line at P = Average of adjacent slopes = (26-39.8)/2 = -6.9
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