By definition we have that the average rate of change of the function is:

Evaluating the function for the complete interval we have that the AVR is given by:

Rewriting we have:

Simplifying the expression we have:


Answer:
the average rate of change of the function defined by the table is:

It would be bias if Amalie just surveyed a small population of her class rather than the whole. Hope this helps!
Step-by-step explanation:
Total money = 15.40 × 5 = 77
Ethan gets 5 boxes for 77
Answer:
The histogram of the data is attached below.
Step-by-step explanation:
A histogram is a demonstration of statistical data that uses bars to illustrate the incidence of data values in successive numerical intervals of same size. In the most basic form of histogram, the independent variable is marked along the x-axis and the dependent variable is marked along the y-axis.
The data provided is:
X Frequency
1 12
2 3
3 7
4 9
5 18
6 14
The histogram of the data is attached below.
0.75(3.5a -6b)
= 0.75* (3.5a) -0.75* (6b) (distributive property)
= 2.625a -4.5b
The final answer is 2.625a -4.5b~