Answer:
option D. 4.7 x 10-4 m
Step-by-step explanation:
<u><em>The correct question is</em></u>
• cell P: 5.0 x 10-4 meters
• cell Q: 3.0 x 10-5 meters
we have
The diameter of cell P is
The diameter of cell Q is
Rewrite the diameter of cell P as
Find the difference
Rewrite the difference as
In this question , we have to find, which option represents inverse functions.
Let's check out option b
Let it be y
So we have
Switching x and y and solving for y,
Performing cross multiplication
Combining like terms
Which is same as of the other function.
So correct option is b .
We are given a data set and we are asked to write the model that fits the data. We notice that for each step of "x" the values of "y" increase by the same amount. That means that the data follow a linear model, therefore, we will use:
Where:
To determine the slope "m" we will use the following formula:
Where:
Are data points. From the table we choose the following points:
Now, we substitute in the equation for the slope:
Solving the operations:
Therefore, the slope is -7. Substituting in the equation of the line we get:
Now, we substitute one of the points to get the value of "b". We will substitute the value x = -8, y = 47, we get:
Solving the product:
Now we subtract 56 from both sides:
Now, we substitute the value of "b" in the equation of the line:
And thus we get the line equation.
