Posted by Jeffery on Friday, February 19, 2010 at 10:51am.
Suppose that the number of cars, C, on 1st Avenue in a city over a period of time t, in months, is graphed on a rectangular coordinate system where time is on the horizontal axis. Further suppose that the number of cars driven on 1st Avenue can be modeled by an exponential function, C= p * a t (C=p*a^t) where p is the number of cars on the road on the first day recorded and t is the number of days.
You are going to decide how you would prefer to commute to work each day.
Step 1 is to choose a value for “p” between 50 and 100; this is the initial number of cars on the road.
Step 2 is to choose a value for “a”; this is the growth factor – you can choose “a” to be any number between 0 and 1 “OR” choose “a” to be any number greater than 1.
1) Insert the chosen values for “p” and “a” into the formula listed above.
2) Use the formula to find the number of cars, C, on 1st Avenue at any three values of time, t, in days that you want. Show your calculations and put units on your final answer!
3) Provide a written summary of your results explaining them in the context of the original problem. Would you want to commute to work each day on this road? Explain why or why not.
Do NOT use the same values for “p” and “a” as another student in the class.

college  bobpursley, Friday, February 19, 2010 at 10:56am
This is "college"? This was a standard assignment for ALG II students in the exponential decay section.
So what is your question? Choose p (I suggest 100), and a. You need at least one value of a <1 (decay), and a couple of values above 1, (growth).
I would graph them also with your graphing calculator.
Please put your subject in the subject box, terms like "college", "adult", are meaningless to our answering volunteers, and is a waste of their time trying to seek out their subject questions.

college  Jeffery, Friday, February 19, 2010 at 11:04am
sorry but yes it is college algebra

college  jeffery, Friday, February 19, 2010 at 11:09am
Suppose that the number of cars, C, on 1st Avenue in a city over a period of time t, in months, is graphed on a rectangular coordinate system where time is on the horizontal axis. Further suppose that the number of cars driven on 1st Avenue can be modeled by an exponential function, C= p * a t (C=p*a^t) where p is the number of cars on the road on the first day recorded and t is the number of days.
Step 1 is to choose a value for “q” between 50 and 100; this is the initial number of cars on the road.
Step 2 is to choose a value for “z”; this is the growth factor – you can choose “z” to be any number between 0 and 1 “OR” choose “z” to be any number greater than 1.
1) Insert the chosen values for “q” and “z” into the formula listed above.
2) Use the formula to find the number of cars, C, on 1st Avenue at any three values of time, t, in days that you want.
3) Provide a written summary of your results explaining context of the problem. Would you want to commute to work each day on this road?
How to I solve this problem using the number 75 for Q & 2 for Z?

college  bobpursley, Friday, February 19, 2010 at 11:21am
The model given to you was
Cars=OriginalNumber*(growth factor)^{t}
In the steps, Q is the original number
z is the growth factor
t is time in days.

college  jeffery, Friday, February 19, 2010 at 11:25am
I'm very confused?
Answer This Question
Related Questions
 Can someone check my answer please  Can someone check this for me? Suppose that...
 Math  Suppose that the number of cars, C, on 1st Avenue in a city over a period...
 algebra  Part 1: Using the Library, web resources, and/or other materials, find...
 algebra  Part 1: Using the Library, web resources, and/or other materials, find...
 algebra  Suppose the number of new homes built ,H, in a city over a period of ...
 algebra  Suppose the number of new homes built ,H, in a city over a period of ...
 college algebra  Suppose that the number of new homes built, H, in a city over ...
 math  Suppose that the number of new homes built, H, in a city over a period of...
 Algebra  Library Research Assignment Please help with Discussion board problem ...
 College Algebra  Part 1: Suppose that the number of new homes built, H, in a ...
More Related Questions