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**harry** Part 1: 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.

Typing hint: Type formula above as *H* = *p* * *a^t*