The graph shows the rate of change of the revenue of a company from 2000 through 2015. dR dt 450 400 350 300 250 200 150 100 50 2. 10 12 14 16 Year (0 + 2000) (a) Approximate the rate of change of the revenue in 2010. Explain your reasoning. dR was approximately $ dt In 2010, t = x , the rate of change of revenue, thousand per year. (b) Approximate the year when the rate of change of the revenue is the greatest. Explain your reasoning. dR was approximately $ dt In 2000, t = the rate of change of revenue, thousand per year, which was the absolute maximum on the given interval 0 sts 15. Enter an exact number. (c) Approximate the year when the revenue is maximum. Explain your reasoning. Kahe of change of revenue (in thousands of dollars per year)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section3.3: Rate Of Change And Slope
Problem 19PPS
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The graph shows the rate of change of the revenue of a company from 2000 through 2015.
dR
dt
450
400
350
300
250
200
150
100
50
4
6
8
10
12 14
16
Year (0 + 2000)
(a) Approximate the rate of change of the revenue in 2010. Explain your reasoning.
dR
In 2010, t =
the rate of change of revenue,
was approximately $
thousand per year.
1.
dt
(b) Approximate the year when the rate of change of the revenue is the greatest. Explain your reasoning.
In 2000, t =
the rate of change of revenue,
dR
was approximately $
thousand per year, which was the absolute maximum on the given interval 0 <t< 15.
1.
dt
Enter an exact number.
(c) Approximate the year when the revenue is maximum. Explain your reasoning.
dR
Since the graph of
is always positive, the revenue R is always | increasing v
dt
Therefore, on the interval 0 < t < 15, R is a maximum at t =
during the year
Rate of change of revenue
(in thousands of dollars per year)
Transcribed Image Text:The graph shows the rate of change of the revenue of a company from 2000 through 2015. dR dt 450 400 350 300 250 200 150 100 50 4 6 8 10 12 14 16 Year (0 + 2000) (a) Approximate the rate of change of the revenue in 2010. Explain your reasoning. dR In 2010, t = the rate of change of revenue, was approximately $ thousand per year. 1. dt (b) Approximate the year when the rate of change of the revenue is the greatest. Explain your reasoning. In 2000, t = the rate of change of revenue, dR was approximately $ thousand per year, which was the absolute maximum on the given interval 0 <t< 15. 1. dt Enter an exact number. (c) Approximate the year when the revenue is maximum. Explain your reasoning. dR Since the graph of is always positive, the revenue R is always | increasing v dt Therefore, on the interval 0 < t < 15, R is a maximum at t = during the year Rate of change of revenue (in thousands of dollars per year)
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