Select all that apply:
A: Each day, the bacteria population grows by a factor of 2
B: The equation p=2^d also defines the relationship between the population in thousands and time in days
C: The population reaches 7,000 after log2(7,000) days
D: The expression log2(10) tells us when the population reaches 10,000.
E: The equation d=log2(p) represents a logarithmic function
F: The equation 7=log2(128) tells us that the population reaches 128,000 in 7 days.
The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.
<h3>What is an exponential function?</h3>
An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let p represent the bacteria population in thousand after d days.
Since each day, the bacteria population grows by a factor of 2, hence:
Hence, d = log₂p represents a logarithmic function
The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.
To find the volume of a rectangular prism, you just multiply the length x width x height. So 1 1/4 x 4 x 3 1/4 = volume (and since they are all centimeters you don't have to worry about converting units) You can also use decimals instead. So either the above equation or 1.25 x 4 x 3.25 = volume and if you don't know the decimal for a fraction just pop it into a calculator if you have one, so to find 1/4 as a decimal just do 1 divided by 4 in the calculator. There are ways you can do it without a calculator but it's easier if you have one.
So the volume of this cube would be 16.25 or 16 1/4
Answer: this is how my teacher explained how a double number line and a table are similar. They are similar because if you flip a double number line sideways it looks like a table. so that’s just how I started to understand double number lines. Hope it helped! :)