The exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
What is exponential decay?
During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have an exponential function:
[tex]\rm b_1(t) = 500(1.6)^t[/tex]
a) As the base of the exponent is greater than 1 so it is exponential growth.
b) 500 in the equation represents the initial value.
c) We have another exponential equation:
[tex]\rm b_2(t) = 800(1.6)^t[/tex]
For exponentikal gropwth:
1 + r = 1.6
r = 0.6 or
r = 6%
In the equation:
[tex]\rm b_1(t) = 500(1.6)^t[/tex]
The number of bacteria initially was 500 and from the second the number of bacteria initially was 800.
Thus, the exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
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