The function B(t) = 300(2)t
gives the number of bacteria after t
hours. How many bacteria exist after 5 hours? (1 point)
Responses
9600
9600
7.776 ×10^13
7.776 ×10^
13
3000
3000
t= 5
To find the number of bacteria after 5 hours, we can substitute t = 5 into the function B(t) = 300(2)t.
B(5) = 300(2)^5
B(5) = 300 * 32
B(5) = 9600
Therefore, there are 9600 bacteria after 5 hours.
To find the number of bacteria that exist after 5 hours using the given function B(t) = 300(2)^t, substitute t = 5 into the function:
B(5) = 300(2)^5
First, calculate 2^5:
2^5 = 2 × 2 × 2 × 2 × 2 = 32
Now substitute this value into the function and calculate:
B(5) = 300 × 32 = 9600
Therefore, there will be 9600 bacteria after 5 hours.
To find the number of bacteria that exist after 5 hours, we can substitute the value of t = 5 into the function B(t) = 300(2)^t.
Given: B(t) = 300(2)^t
Substituting t = 5:
B(5) = 300(2)^5
Simplifying the equation:
B(5) = 300(32)
Calculating the result:
B(5) = 9600
Therefore, after 5 hours, there will be 9600 bacteria.