Part A:
The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

and
are points on the function
You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:




Now, let's find the slopes for each of the sections of the function:
<u>Section A</u>

<u>Section B</u>

Part B:
In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

It is 25 times greater. This is because
is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.
Answer:
m=4
Step-by-step explanation:
1/8=m/32
cross product
8*m=1*32
8m=32
m=32/8
m=4
Answer:
answer is a
Step-by-step explanation:
Given :
Everyday Isabel swims 10-20 laps in a 50 meter pool.
The amount of time she spends swimming is represented by the function f(x) = 3x .
To Find :
The speed of Isabel.
Solution :
Distance travelled in x laps is, D = 50x .
It is given that time taken is, t = 3x .
So, speed of Isabel is given as :

Hence, this is the required solution.