SOLUTION: Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that       Log On


   

Question 198525: Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled by an exponential function, H= p * at , where p is the number of new homes built in the first year recorded. If you were a homebuilder looking for work, would you prefer that the value of a to be between 0 and 1 or larger than 1? Explain your reasoning. Be sure to reference your sources using APA style.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Since this is supposed to be an exponential function, I am presuming that you meant:



To avoid confusion, use ^ to indicate raising to a power in the future. As in: H = p*a^t

The following are graphs of

(the red graph)

and

(the green graph)

Draw your own conclusions:





John