Answer:
C
Step-by-step explanation:
You can look them up in the graphs.
f(2) means "where is the blue graph when x=2?", and you can see it is at y=0.
Answer: There are 
in one inch.
Answer:
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
The linear approximation is given by the equation
Linear approximation is a good way to approximate values of 
as long as you stay close to the point 
, but the farther you get from 
, the worse your approximation.
We know that,
Next, we need to plug in the known values and calculate the value of 
:
Then
.
It will take 6 years for that to happen.
You can find this by setting Nichole's age as x and Sophie's age as x + 28 since she will always be 28 years older.
Now we are looking for a time that Sophie's age is equal to 2 less than 6 times Nichole's age. So we can set up the below equation.
6(x) - 2 = x + 28
6x - 2 = x + 28
5x - 2 = 28
5x = 30
x = 6
This let's us know that it needs to be when Nichole is 6, which is 6 years in the future.
