A colony of bacteria is growing exponentially according to the function below, where T is in hours. How many bacteria are there after 7 hours?
B(T)= 4*e^(0.8)T
That is completely wrong. I'm sure you didn't type the equation in right or something. The correct answer is 1081-1082 bacteria.
To find the number of bacteria after 7 hours, we need to find the value of the function B(T) when T = 7.
The given function is B(T) = 4 * e^(0.8T), where T represents the number of hours.
To find the number of bacteria after 7 hours, we substitute T = 7 into the function:
B(7) = 4 * e^(0.8 * 7)
First, calculate the value inside the exponent: 0.8 * 7 = 5.6
Next, calculate e^(5.6) using the value of e, which is approximately 2.71828:
e^(5.6) ≈ 2.71828^(5.6)
Now, use a calculator or computer program to evaluate the exponential term:
e^(5.6) ≈ 295.84747
Finally, multiply the result by the coefficient 4:
B(7) = 4 * 295.84747
B(7) ≈ 1183.38988
Therefore, there are approximately 1183.38988 bacteria after 7 hours.
A colony of bacteria is growing exponentially according to the function below, where T is in hours. How many bacteria are there after 6 hours?
B(T)= 4*e^(0.8)T
B(T)=4*e^(0.8)(7)
7 for T
B(T)=62.3151
(plugged the equation into a graphing calculator)