Mean Value Theorem: Ms. B received a ticket from an Officer on the 5....

[123456]

Mean Value Theorem. can anyone help me?

When coming to school, Ms. B received a ticket from an Officer on the 5. The officer claimed that Ms. B was exceeding the 65 mph speed limit by at least 20 mph. At 7:02 she passed the officer's checkpoint and at 7:08 she passed the second checkpoint. according to the officer, the distance traveled between the checkpoints was 8 miles.

do I need to use the equation of f'(c) = f(b) - f(a) / b-a ?
if the bottom part: b-a = 6 minutes ? so,
8 miles
0.1 hour .... so she's going 80 mph?

is that correct?
How do i provide an informal statement of what the Mean Value Theorem of that?

 

[Deleted member 4993]

When coming to school, Ms. B received a ticket from an Officer on the 5. The officer claimed that Ms. B was exceeding the 65 mph speed limit by at least 20 mph. At 7:20 she passed the officer's checkpoint and at 7:08 she passed the second checkpoint. according to the officer, the distance traveled between the checkpoints was 8 miles. You need to decide Ms. B's fate.

a) Provide an informal statement of what the Mean Value Theorem says in this context.
b) What is your conclusion? Is it possible that Ms. Claudia was not exceeding the speed limit by 20 mph? Explain.

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...Before-Posting!!

 

[stapel]

When coming to school, Ms. B received a ticket from an Officer on the 5. The officer claimed that Ms. B was exceeding the 65 mph speed limit by at least 20 mph. At 7:02 she passed the officer's checkpoint and at 7:08 she passed the second checkpoint. According to the officer, the distance traveled between the checkpoints was 8 miles.

Provide an informal statement of what the Mean Value Theorem says in this context.

What, in a "formal" statement, does the Mean Value Theorem say (in your book or in your class notes)?

From the given information, what speed is the officer claiming that Ms. B exceeded? Given the two timestamps and the given distance, what average speed is the officer claiming over that distance?

How might this relate to the Mean Value Theorem?

Thank you!