The following data set involves exponential growth. 1 3 4 0.16 0.40 1.00 2.50 15.63 39.06 These figures may be represented by an exponential equation of the form y = a·b". Determine the missing value from the table. Express your answer to the nearest hundredth.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Since 2001, the population of a particular town has been increasing by a rate of
14.5% per year. In 2001 the population of the town was 1200.
A function that models the increase in the town population is
y = 1200(1. 145)"
where y is the number of people in the town, and x is the number of years since
2001.
Determine in which year the town population will be 2500.
Transcribed Image Text:Since 2001, the population of a particular town has been increasing by a rate of 14.5% per year. In 2001 the population of the town was 1200. A function that models the increase in the town population is y = 1200(1. 145)" where y is the number of people in the town, and x is the number of years since 2001. Determine in which year the town population will be 2500.
The following data set involves exponential growth.
1
2.
3
4
6.
0.16
0.40
1.00
2.50
15.63 39.06
These figures may be represented by an exponential equation of the form
Y = a• b².
Determine the missing value from the table. Express your answer to the nearest
hundredth.
Transcribed Image Text:The following data set involves exponential growth. 1 2. 3 4 6. 0.16 0.40 1.00 2.50 15.63 39.06 These figures may be represented by an exponential equation of the form Y = a• b². Determine the missing value from the table. Express your answer to the nearest hundredth.
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