C/30 = 8/12
c/30 = 2/3
3c = 60
c = 60/3
c = 20
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:
1/5
Step-by-step explanation:
The probability of drawing an almond cookie the first time is 3/6=1/2, since there are a total of 6 cookies and 3 of them are almond. However, the second time the chance is 2/5, since there are 5 cookies left and only two of them are almond. The equation to model this is therefore:

Hope this helps!
Step-by-step explanation:
Objective: Recall the properties.
a) 3+1=4
b) 3+7=7+3
c) 3+(7+4)=7+(3+4)
d). 3(7+4)=(3×7)+(3×4)