To compare: the y -intercept and the rate of decrease in value for each vehicle and then interpret the significance results.
Upon comparing, the y-intercept or initial value for a minivan is less than a sports utility vehicle and the rate of depreciation for the minivan is greater than a sports utility vehicle which the value of a minivan decreases faster than a sports utility vehicle.
Given information:
The function
The graph of sports utility vehicle is shown below:
Concept Used:
Elements of an Exponential Decay Formula
Calculation:
Rewrite the given function in terms of
So, the exponential decay is
The graph of the minivan utility is shown below:
From the above graph, it is observed that the maximum value of minivan is
The graph of the sport utility vehicle is shown below:
From the above graph, it is observed that the maximum value of sports utility vehicle is
Since
The y -intercept of the minivan is 25000 and the y -intercept of the sport utility vehicle is 30000.
The rate of depreciation for the minivan is greater than a sports utility vehicle which the value of a minivan decreases faster than a sports utility vehicle.
Chapter 5 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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