a.
To write: an expression that gives value of y after x years.
a.
Answer to Problem 62RE
Explanation of Solution
Given information:
An 18-wheel truck is purchased for $100,000. Its value depreciates at the constant rate of $10,000 per year for 10 years.
Formula Used:
The slope-intercept equation of a line passing through the point
It is given that the value of the truck depreciates at a constant rate. So, its equation must be linear.
The initial value of the truck is $100,000. So, the y -intercept of the equation representing the value of truck is
Also, it is given that its value depreciates at the constant rate of $10,000 per year for 10 years.
So,
Thus, the required equation is:
The depreciation rate is provided for 10 years. So, the domain is
b.
To find: When will the value of truck be $55,000.
b.
Answer to Problem 62RE
After 4.5 years
Explanation of Solution
Given information:
From part (a), the value y of truck after x years is given by the equation:
The objective here is to find x for which
Substitute
Hence, the value of truck will be $55,000 after 4.5 years.
Chapter 0 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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