Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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(a) The number of tourists visiting a certain country is a linear function of time. Using this fact, fill in the blanks in the following table. Be sure to show your work.
Date
N: number of tourists (in thousands)
1979
103
1983
91.8
1987
80.6
1991
1995
(b) Find a formula for a linear function that models the data in the table (N as a function of t, the number of years since 1979.)
N =
t +
(c) Explain in practical terms the meaning of the slope of the function you found in Part (b).
O The rate at which a tourist visits the country every year
O The number of years since the last visit of the tourists
O The number of tourists visiting the country on a given year
O The rate at which the number of tourists is decreasing every year
(d) Use your formula from Part (b) to predict the date when the number of tourists will drop to 49.8 thousand.
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Transcribed Image Text:(a) The number of tourists visiting a certain country is a linear function of time. Using this fact, fill in the blanks in the following table. Be sure to show your work. Date N: number of tourists (in thousands) 1979 103 1983 91.8 1987 80.6 1991 1995 (b) Find a formula for a linear function that models the data in the table (N as a function of t, the number of years since 1979.) N = t + (c) Explain in practical terms the meaning of the slope of the function you found in Part (b). O The rate at which a tourist visits the country every year O The number of years since the last visit of the tourists O The number of tourists visiting the country on a given year O The rate at which the number of tourists is decreasing every year (d) Use your formula from Part (b) to predict the date when the number of tourists will drop to 49.8 thousand.
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