The average rate of change of a function f(x) over an interval (a, b) is given by

Therefore, given a function, f(x), over an interval (2, 9), the average rate of change of the function can be found using the expression
Answer:
$503.90
Step-by-step explanation:
6500 X .93= 6045
6045/12=503.90
Answer: A. The slope is
.
Step-by-step explanation:
The slope of a line helps to specify the direction of the line.
The slope of a line that passes through (a,b) and (c,d) is given by :-

Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-

Hence, the slope is
.
Histograms are useful when we have data which can be divided into several classes or groups. The histogram shows the trend of each class and the trend among the different classes. For example when we have about 50 different values ranging from 1 to 20, it will be a better approach to draw a histogram in this case by dividing the data into small ranges e.g 1 to 4, 5 to 9 and so on and counting the frequency for each class.
Dot plot is useful when we have a small number of individual values. In this case we can visualize how many times each individual value occurred in the data. This is useful when the number of values in the data is less.
In the given scenario, we have 12 values in total ranging from 1 to 5. So making a dot plot would be the best choice. A histogram would not be useful in this case.
Therefore, the correct answer is option D. Dot plot, because a small number of scores are reported individually
Answer:
graph B
Step-by-step explanation:
Given
3y - 5x < - 6
Since the inequality is < then the line must be broken
If ≤ then line would be solid
The only possible graphs are B and D
Choose a test point in the shaded region of each graph and check validity
graph B (2, 0) ← substitute into left side of inequality
0 - 5(2) = 0 - 10 = - 10 < - 6 ← this is valid
graph D (0, 0 ) ← substitute into left side of inequality
0 - 0 = 0 > - 6 ← this is not valid
Hence graph B is the correct graph