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Algebra II / Mr. Hansen |
Name:
_________________________ |
Qualifying Quiz for Chapter 7 Re-Test
A calculator is required. This quiz will not be
graded, but I want everyone to take it for educational and diagnostic purposes.
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1. |
Simplify the expression
below. |
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2. |
Store the value of –1.453
into x. In problem #1, evaluate both
the original expression (answer: ________ ) as well
as your simplified version (answer: ________ ). Give both answers to 3 decimal
places. What can you conclude? ___________________ |
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___________________________________________________________ |
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3. |
Back in the early ’80s,
long before any of you were born, Mr. Hansen was quite “into” bicycling as a
sport. Once he rode (true story) 22 miles in one hour without a headwind. At
that time, the world one-hour record stood at 29.8 mph. “Aha!” Mr. Hansen
thought. “With a few more months of training, I might be able to challenge
the world record.” |
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Alas, it was not to be.
Assume that the power (in watts) required to power a bicycle varies directly
with the cube of the rider’s speed. This is not precisely true, but it is so
close to being true that it is good enough for the purpose of this problem. |
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(a) |
Define variables and state
clearly what depends on what. |
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(b) |
Write a general equation.
Raise your hand so that it can be checked for accuracy. |
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(c) |
If Mr. Hansen’s output
during the 22-mph run was 225 watts, find the particular equation. |
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(d) |
How many watts would Mr.
Hansen need to put out in order to cover 30 miles in one hour? |
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(e) |
With training, Mr. Hansen
predicted that he could eventually reach a peak power output of about 260
watts. How many miles per hour would this be? |