Answer:
Kendra ate 1/4 pounds of blueberries.
Step-by-step explanation:
The amount of blueberries Sean had = 1/3 pound
The amount of blueberries Kendra ate = 3/4 of Total available
= 3/4 of (1/3 pounds)
Now, we need to find out the 3/4 amount of 1/3 pound.
3/4 of 1/3 pound =
⇒ 3/4 of the amount 1/3 pound = 1/4 pound
Hence Kendra ate 1/4 pounds of blueberries.
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:
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.
