Question 180673: Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed oon a retangular coordinate system where time in on the horizontal axis. Suppose that the number of homes built can be modeled by a exponential function, H=p*at, where p is the number of homes built in th efirst year recorded. If you were a homebuilder looking for work would you prefer that the value if "a" to be between 0 and 1 or larger that 1? Explain your reasoning
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed oon a retangular coordinate system where time in on the horizontal axis. Suppose that the number of homes built can be modeled by a exponential function, H=p*a^t, where p is the number of homes built in th efirst year recorded. If you were a homebuilder looking for work would you prefer that the value if "a" to be between 0 and 1 or larger that 1? Explain your reasoning
------------------------------
H(t) = p*a^t
---------------
If 0 < t < 1 the "H" decreases as t increases.
---------------------
If t > 1 "H" increases as t increases.
------------------------
Take your choice as a homebuilder.
======================================
Cheers,
Stan H.
|
|
|
