Which function represents exponential decay?f(x)=1/2(2)xf(x)=3/4(-1/5)xf(x)=(7/2)xf(x)=2(2/3)x
2 answers:
Answer: The answer is (D)
Step-by-step explanation: We are to select the correct function which represents exponential decay.
We know that an exponential decay is represented by the function with base less than 1.
For example, if we consider the following exponential function:
then f(x) will show exponential growth if b > 1 and exponential decay is b < 1.
Among the given functions, represents exponential decay, because the base is 0.66, which is less than 1.
Thus, (D) is the correct option.
The graph of this resultant function is attached, which clearly represents exponential decay.
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Answer:
The constant of variation is $1.50
Step-by-step explanation:
Given
Point 1 (1,2)
Point 2 (5,8)
Required
Constant of Variation
Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.
Having said that,
the constant variation can be solved by calculating the gradient of the graph;
The gradient is often represented by m and is calculated as thus
Where
By substituting values for x1,x2,y1 and y2; the gradient becomes
Hence, the constant of variation is $1.50