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Stephen recently purchased a camper. The value of the camper after t years is given by the following expression.22,475(0.81)t Which of the following best describes the expression?
A the product of the initial value of the camper and its growth factor raised to the number of years since it was purchased
B the product of the initial value of the camper and its decay factor raised to the number of years since it was purchased
C the product of the initial value of the camper and its decay factor raised to the number of months since it was purchased
D the product of the initial value of the camper and its growth factor raised to the number of months since it was purchased 

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Respuesta :

carlosego
For this case we have a function of the form:
 [tex]y = A * (b) ^ t [/tex]
 Where,
 A: initial amount
 b: rate of change
 t: time in years.
 When b> 1 the function grows.
 When b <1 the function decreases.
 For this case we have the following function:
 [tex]22,475 (0.81) ^ t [/tex]
 We observed that:
 [tex]b = 0.81 (b \ \textless \ 1) [/tex]
 Therefore, the function decreases with the number of years.
 Answer:
 B the product of the initial value of the camper and its decay factor raised to the number of years since it was purchased

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