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Each of the functions below model the monetary value of an item. Which is the only that has a growth factor showing the item is
Question
Each of the functions below model the monetary value of an item. Which is the only
that has a growth factor showing the item is increasing in value?
O a(x) = 90(3/4)^x
B(x) = 215(5/4)^x
c(x) = 73(0.98)^x
d(x) = 12(0.24)^x
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Mathematics
3 years
2021-08-09T14:31:36+00:00
2021-08-09T14:31:36+00:00 1 Answers
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Answers ( )
Answer:
The correct answer is .
Step-by-step explanation:
We must remember that each option represents a geometrical progression, whose model is represented by:
Where:
– Dependent variable, dimensionless.
– Initial value, dimensionless.
– Common ration, dimensionless.
A geometric function is decreasing and monotone when , stable when and increasing and divergent when .
The equation is the only one that is increasing in value, as notice that . Therefore, the correct answer is B.