Since the start of July, OHagantbooks.com has seen ts weekly sales increase. OHagantooks.com fits the curve wet) - 36r + 254t + 6,244 (0 sts6) to its weekly sales figures as shown in the following graph. w (book sales) 9,000 500 8,000 7,500 7,000 6,500 t(week) (a) Compute the derivative function w'(t). w'it) - (b) According to the model, what was the rate of increase of sales at the beginning of the second week (t 1)7 books per week (c) If we extrapolate the model, what would be the rate of increase of weekly sales at the beginning of the eighth week (t 7)? books per week

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Since the start of July, OHagantlooks.com has seen its weekly sales increase.
OHaganttooks.com fits the curve
wt) - 36r + 254t + 6,244 (0 sts 6)
to its weekly sales figures as shown in the following graph.
w (book sales)
9,000
8,500
8,000
7,500
7,000
6,500
t(week)
(a) Compute the derivative function w'(r).
w't) =
(b) According to the model, what was the rate of increase of sales at the beginning of the second week (t- 1)7
books per week
(c) If we extrapolate the model, what would be the rate of increase of weekty sales at the beginning of the elighth week (t 7)?
books per week
Transcribed Image Text:Since the start of July, OHagantlooks.com has seen its weekly sales increase. OHaganttooks.com fits the curve wt) - 36r + 254t + 6,244 (0 sts 6) to its weekly sales figures as shown in the following graph. w (book sales) 9,000 8,500 8,000 7,500 7,000 6,500 t(week) (a) Compute the derivative function w'(r). w't) = (b) According to the model, what was the rate of increase of sales at the beginning of the second week (t- 1)7 books per week (c) If we extrapolate the model, what would be the rate of increase of weekty sales at the beginning of the elighth week (t 7)? books per week
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