Use the exponential function in Example l to find the average amount spent, to the nearest dollar, after three hours at a shopping mall. Does this rounded function value underestimate or overestimate the amount shown in Figure 4.1 ? By how much? EXAMPLE 1 Evaluating an Exponential Function The exponential function f ( x ) = 42.2 ( 1.56 ) x models the average amount spent, f ( x ), in dollars, at a shopping mall after x hours. What is the average amount spent, to the nearest dollar, after four hours?
Use the exponential function in Example l to find the average amount spent, to the nearest dollar, after three hours at a shopping mall. Does this rounded function value underestimate or overestimate the amount shown in Figure 4.1 ? By how much? EXAMPLE 1 Evaluating an Exponential Function The exponential function f ( x ) = 42.2 ( 1.56 ) x models the average amount spent, f ( x ), in dollars, at a shopping mall after x hours. What is the average amount spent, to the nearest dollar, after four hours?
Solution Summary: The author analyzes how the average amount spent after three hours at a mall is 160 and it overestimates the amount in the figure.
Use the exponential function in Example l to find the average amount spent, to the nearest dollar, after three hours at a shopping mall. Does this rounded function value underestimate or overestimate the amount shown in Figure 4.1? By how much?
EXAMPLE 1 Evaluating an Exponential Function
The exponential function
f
(
x
)
=
42.2
(
1.56
)
x
models the average amount spent, f(x), in dollars, at a shopping mall after x hours. What is the average amount spent, to the nearest dollar, after four hours?
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY