Answer:
As I answered your question, answer is D
Step-by-step explanation:
The average rate of change on the interval (5, 6) is 9. So the correct option is D.
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How to find the average rate of change on the interval?</h3>
Here we want to find the average rate of change of f(x), the function on the table, on the interval (5, 6).
This is just:


I we look at the table we see that:



This is a system of equations.
If we subtract the second and first functions, we get:

From that we take two relations:

Now we can replace these two in the last equations so we get:

Now that we know the value of a:

The quadratic equation is:

Evaluating this in x = 6 we get:

And from the table we know that f(5) = 17, then the average rate of change is:

The correct option is D.
If you want to learn more about average rates of change:
brainly.com/question/8728504
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Since we know the slope is 3 we have part of the equation already (y=3x+b). Now we need to find the y-intercept. To do that we plug in the point that was given to us in the question and solve for b.
0=3(-5)+b
0=-15+b
15=b
Now that we have the y intercept we can put the equation together.
Answer: y=3x+15
Hope this helps :)
Answer:
1. D
2. C
Step-by-step explanation:
100 - 90.5 = 9.5
1.9n《9.5
n《5
68.25 + 4.5n > 75
4.5n > 6.75
n > 1.5