What is the slope of the line in the graph?
1 answer:
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Answer:
a)
b) Approx. 27,569 bacteria
c) About 103 minutes
Step-by-step explanation:
a)
This will follow exponential modelling with form of equation shown below:
Where
A is the initial amount (here, 12000)
b is the growth factor (double, so growth factor is "2")
n is the number of minutes in which it doubles, so n = 50
Substituting, we get our formula:
b)
To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.
Remember, t is in minutes, so
1 hour = 60 minutes
t = 60
Substituting, we get:
The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>
<u></u>
c)
To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:
After about 103 minutes, there will be 50,000 bacteria
Answer:
120 cm squared
Step-by-step explanation:
To find the number of terms in the arithmetic sequence, we need to use the formula
where
is the nth number, 
is the first number, n is the number of terms and d is the difference of the two consecutive numbers.
7373 = 1313 + (n - 1)(303)
7373 = 1313 + 303n - 303
7373 = 1010 + 303n
7373 - 1010 = 303n
6363 = 303n
6363 ÷ 303 = n
n = 21
Therefore, there are 21 terms in the arithmetic sequence given.
where
7373 = 1313 + (n - 1)(303)
7373 = 1313 + 303n - 303
7373 = 1010 + 303n
7373 - 1010 = 303n
6363 = 303n
6363 ÷ 303 = n
n = 21
Therefore, there are 21 terms in the arithmetic sequence given.