Name: 
 

04-09 Sample Quiz - Rational Equations in Context



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Kevin ran 6 miles in the time it took Michelle to run 4 miles.

Kevin runs at a rate of mc001-1.jpg faster than Michelle.

How fast was Michelle running?
mc001-2.jpg
a.
4 miles per hour
c.
6 miles per hour
b.
5 miles per hour
d.
9 miles per hour
 

 2. 

Starting from the same place a plane took 1 hr longer to fly 705 mi to Atlanta, than to fly 470 mi to New Orleans.


mc002-1.jpg

If the plane flew at the same rate for the entire trip, what was the flying time for the shorter leg?


a.
mc002-2.jpghr
c.
mc002-3.jpghrs
b.
1hr
d.
2 hrs
 

 3. 

A wedding planner is preparing a wedding reception dinner and has determined that the overall cost will require $25 for each guest that attends.  This situation can be represented by mc003-1.jpg, where mc003-2.jpg is the independent variable and represents the number of guest and mc003-3.jpg is the dependent variable and represents the cost of the reception. 
Which best describes the appropriate DOMAIN of this situational function?


a.
The set of Integers  (i.e. {..... –2, –1, 0, 1, 2, ......})
b.
The set of Whole Numbers (i.e. { 0, 1, 2, 3,  ......})
c.
The set of All Real Numbers mc003-4.jpg where mc003-5.jpg
d.
The set of All Real Numbers mc003-6.jpg where mc003-7.jpg
 

 4. 

A balloon’s volume increases from 8 liters to 8.5 liters during which time the temperature increased 18° Kelvin.  Using Charles’ Law, determine the original temperature of the room in Kelvin.
Charles Law:  mc004-1.jpg

Given we know:
mc004-2.jpg,   mc004-3.jpg,   mc004-4.jpg,   mc004-5.jpg
mc004-6.jpg


a.
mc004-7.jpg
c.
mc004-9.jpg
b.
mc004-8.jpg
d.
mc004-10.jpg
 

 5. 

The equation for compound interest is mc005-1.jpg where P is the initial amount invested, r is the interest rate as a decimal, n is the number of times compounded annually, and t is the number of years.

Which function below best represents how the change in the number of compounds per year (n) increases the value of the account after investing $25 at 12% interest for 25 years.


a.
mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
mc005-5.jpg
 



 
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