Joe Downs runs a small investment company investments, including the progress of the Joe Downs Index. At the end of one particularly memorable week, he reported that the index for that week had the value I(t) = 2,000 + 3,000t - 1,600t2 + 2004 points, where t represents the number of business days into the week; t ranges from 0 at the beginning of the week to 5 at the end of the week. The graph of I is shown below. (Assume a - 2,000.) om his basement. Every week, he publishes a report on the success of his I (Joe Downs Index) t (days) 2 3 4 On average, how fast and in which direction was the index changing over the first two business days (the interval [0, 2])? HINT [See Example 3.] On average, the index was moving down . Its average rate of change was | points per day.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter7: Exponents And Exponential Functions
Section7.6: Transformations Of Exponential Functions
Problem 62PPS
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Joe Downs runs a small investment company
investments, including the progress of the Joe Downs Index. At the end of one particularly memorable week, he reported
that the index for that week had the value I(t) = 2,000 + 3,000t - 1,600t2 + 2004 points, where t represents the number
of business days into the week; t ranges from 0 at the beginning of the week to 5 at the end of the week. The graph of I is
shown below. (Assume a - 2,000.)
om his basement. Every week, he publishes a report on the success of his
I (Joe Downs Index)
t (days)
2
3
4
On average, how fast and in which direction was the index changing over the first two business days (the interval [0, 2])?
HINT [See Example 3.]
On average, the index was moving down
. Its average rate of change was |
points per day.
Transcribed Image Text:Joe Downs runs a small investment company investments, including the progress of the Joe Downs Index. At the end of one particularly memorable week, he reported that the index for that week had the value I(t) = 2,000 + 3,000t - 1,600t2 + 2004 points, where t represents the number of business days into the week; t ranges from 0 at the beginning of the week to 5 at the end of the week. The graph of I is shown below. (Assume a - 2,000.) om his basement. Every week, he publishes a report on the success of his I (Joe Downs Index) t (days) 2 3 4 On average, how fast and in which direction was the index changing over the first two business days (the interval [0, 2])? HINT [See Example 3.] On average, the index was moving down . Its average rate of change was | points per day.
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