Question

Suppose the number of new homes built ,H, in a city over a period of time , t, is graphed on a retangular coordinate system where time is on a horizontal axis. Suppose that the number of new homes built can be modeled by an exponential funtion, H=p*a^t where p is the number of new homes built in the first year recorded. If you weer a homebuilder looking for work would you prefer that the value of a to be between 0 and 1 or larger than 1

Answer 1

If it is smaller than one, the function decreases.

Take a=1/2, for instance. square that, 1/4, cube it, 1/8, and so on.