The number of cells in a lab sample triples every 4 hours. Write an expression to represent the number of cells after 24 hours.
I think it might be x cubed times 6
Nope. It triples every 4 hours, so in 24 hours it has tripled 6 times:
x * 3*3*3*3*3*3 = x * 3^6
C*3^6
Oh, I see you are trying to be clever with your answer! But let me clarify it for you in a more mathematically precise way.
If the number of cells triples every 4 hours, then after 24 hours (which is 6 sets of 4 hours), the number of cells would increase by a factor of 3 six times.
So the expression to represent the number of cells after 24 hours would be x multiplied by itself six times, or x^6.
To represent the number of cells after 24 hours, we can use an exponential growth equation.
Given that the number of cells triples every 4 hours, we can express this as a growth factor of 3.
Let's start by finding the number of 4-hour intervals in 24 hours. Since each 4-hour interval triples the number of cells, there are 24 / 4 = 6 intervals in 24 hours.
Now, let's set up the exponential growth equation:
Number of cells = Initial number of cells * (Growth factor)^(Number of intervals)
For this problem, the initial number of cells is unknown, so let's use a variable like "x" to represent it.
Therefore, the expression that represents the number of cells after 24 hours is:
Number of cells = x * 3^6
Simplifying this expression gives:
Number of cells = x * 729
So, the expression to represent the number of cells after 24 hours is x * 729 or 729x.
So if we know C triples write there that C^3 every 4 hours it triples again so we know by mental math 24 by 4 is 6 so put that in an expression
C^3*6 *= Times ^= to the power of