Respuesta :
f(x)=2,459(0.92)^t
Using the information given above, complete the following statements. The percent change is %. The percent change represents .
f(x)=2,459(0.92)^t
Given equation is an exponential function and in the form of f(x) = a(1-r)^x
Where 'a' is the initial population
'r' is the decay rate
'x' is the time
f(x) = a(1-r)^x
Given function is f(x)=2,459(0.92)^t
1 - r = 0.92
r = 1 - 0.92
r = 0.08
r= 0.08 %
Percentage change = 0.08%
Percentage change represents the decay rate.
Answer:
8%, the rate at which the population is decreasing.
Step-by-step explanation:
Look at the equation f(x)=2,459(0.92)^t
0.92 represents the rate of change.
Because 0.92 is less than 1, it represents a decrease.
To calculate the rate of decay, subtract 0.92 from 1 (1 - 0.92 = 0.08)
To convert the rate of decay to percent, move the decimal to the right two spaces.
The answer is 8%, which represents the rate at which the population is decreasing.
