SOLUTION
We have been given the equation of the decay as
So we are looking for the time
Plugging the values into the equation, we have
Taking Ln of both sides, we have
Hence the answer is 4308 to the nearest year
The sum of two numbers is 21.
1 answer:
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Answer-
The exponential model best fits the data set.
Solution-
x = input variable = number of practice throws
y = output variable = number of free throws
Using Excel, Linear, Quadratic and Exponential regression model were generated.
The best fit equation and co-efficient of determination R² are as follows,
Linear Regression
Quadratic Regression
Exponential Regression
The value of co-efficient of determination R² ranges from 0 to 1, the more closer its value to 1 the better the regression model is.
Now,
Therefore, the Exponential Regression model must be followed.
Answer:
Growth when: b>1.
Decay when: 0<b<1.
Step-by-step explanation:
Any function in the form , where a > 0, b > 0 and b not equal to 1 is called an exponential function with base b.
if 0 < b < 1. It is an example of an exponential decay.
The general shape of an exponential with b > 1 is an example of exponential growth.
Hence,
An exponential function is expressed in the form The relation represents a growth when b >1 and a decay when 0<b<1.