The population is changing at the rate of 12 per hour at the end of 5 hours
<h3>How fast is the population changing at the end of 5 hours?</h3>
The function is given as:
N(x)=4800/1+99e^−0.5x
At the end of 5 hours, the value of x is
x = 5
So, we have:
N(5)=4800/1+99e^−0.5*5
Evaluate the product
N(5)=4800/1+99e^−0.25
Evaluate the exponent
N(5)=4800/1+99*0.779
Evaluate the product
N(5)=4800/1+77.121
Evaluate the sum
N(5)=4800/78.121
Evaluate the quotient
N(5) = 61.44
The rate is then calculated as
Rate = N(5)/5
Substitute the known values in the above equation
Rate = 61.44/5
Evaluate
Rate = 12.288
Approximate
Rate = 12
Hence, the population is changing at the rate of 12 per hour at the end of 5 hours
Read more about exponential functions at:
brainly.com/question/11464095
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