4. The value of a truck decreases exponentially since its purchase. The two points on the graph shows the truck'S Initial value and its value a decade afterward. 50 424,000 - 40.000 1-0. (0, 40,000) 40 30 (1,24,000) 20 10 erle s 0.5 1 decades since purchase a. Express the car's value, in dollars, as a function of time d, in decades, since purchase. v (d) - .16000dr40000 b. Write an expression to represent the car's value 4 years after purchase. V(y) = b000 (4) + 4 oobo S00 C. By what factor is the value of the car changing each year? Show your reasonir value in thousànds of dollars
4. The value of a truck decreases exponentially since its purchase. The two points on the graph shows the truck'S Initial value and its value a decade afterward. 50 424,000 - 40.000 1-0. (0, 40,000) 40 30 (1,24,000) 20 10 erle s 0.5 1 decades since purchase a. Express the car's value, in dollars, as a function of time d, in decades, since purchase. v (d) - .16000dr40000 b. Write an expression to represent the car's value 4 years after purchase. V(y) = b000 (4) + 4 oobo S00 C. By what factor is the value of the car changing each year? Show your reasonir value in thousànds of dollars
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 55E: Medical Literature It has been observed that there has been an increase in proportion of medical...
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Transcribed Image Text:30
20
value in thousands of dollars
Illustrative
Mathematics
4. The value of a truck decreases exponentially since its purchase. The two points on
the graph shows the truck's initial value and its value a decade afterward.
424,000-40.000
2-16000
G-I
40
10.
0.5
to
decades since purchase
a. Express the car's value, in dollars, as a function of time d, in decades, since
purchase.
b. Write an expression to represent the car's value 4 years after purchase.
%3D
C. By what factor is the value of the car changing each year? Show your reasoning.
5. The value of a stock increases by 8% each year.
a. Explain why the stock value does not increase by 80% each decade.
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