The initial population was 234.
<em><u>Explanation</u></em>
<u>Formula for the exponential growth</u> is:
, where P is the initial amount, A is the final amount, r is the rate of growth and t is the time duration.
There was 337 bacteria after 5 minutes and 699 bacteria after 15 minutes. So, the equations will be......

Now dividing equation (2) by equation (1) , we will get .......

<u>Taking 'natural log'</u> on both sides.........

Now, plugging this
into equation (1), we will get......

So, the initial population was 234.
The option (B) 2,-2 is correct because the number satisfy the provided expression.
<h3>What is an arithmetic operation?</h3>
It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have a number bank shown in the picture.
The problem given:
7 - __ = 7 + __
A. 3,-4
Checking for the above option:
7 - 3 = 7 - 4
4 = 3 (false)
B. 2,-2
Checking for the above option:
7 - 2 = 7 - 2
5 = 5 (true)
O C. 1;-4
Checking for the above option:
7 - 1 = 7 - 4
6 = 3 (false)
D. 2; 3
Checking for the above option:
7 - 2 = 7 + 3
5 = 10 (false)
Thus, the option (B) 2,-2 is correct because the number satisfy the provided expression.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
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It's essentially asking for the value of y on the graph of function f(x) when x is equal to -4.
Graphically, we can see that when x = -4, y would be 1.
If you had to do this algebraically with an equation for the function, just slot the value of -4 in for x, to find the value for y.
First, you'd need to transform the equation into y = mx + b
To do this, set up the original equation and solve for y.
x + 5 y = -5
Subtract x from both sides.
5y = -5 - x
Now, divide by 5 into both sides to leave y on one side.
y = -1 -x/5
With this new equation, just shift the numbers on the right of y to create a y = mx + b equation
y = -x/5 - 1
Therefore, you're y intercept is -1 and you're slope is -x/5.
Hope this helps!
Answer:
2
Step-by-step explanation:
A coefficient is the number before the variable.