Concept explainers
(a)
To find: a function that represents the value y (in dollars) of the TV after t years.
Given: Initial value of TV is 1500 and decreases by 14% or
Concept: exponential decay function,
Where,
Explanation: substitute given value in exponential decay function,
Therefore, the function is
(b)
To find: the approximate monthly percentage decrease in value.
Monthly percentage decrease is
Given: Initial value of TV is 1500 and decreases by 14% or
Concept: exponential decay function,
Where,
Explanation: substitute given value in exponential decay function,
Now the value required in month, therefore, takes
Use the power property simplify,
Therefore, the function is
And the decay factor
Therefore monthly percentage decrease is
(c)
To graph: the function and estimate the value of TV after 3 years.
Given: Initial value of TV is 1500 and decreases by 14% or
Graph: Sketch the graph
Interpretation: Observation from the graph is at 3 year there y=950.
Therefore price after 3 year is approximate $950.
Chapter 6 Solutions
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