Final answer:
The student's question is mathematical, asking for the total value of the houses in Keene Valley based on a function of the number of houses. Inserting the number of houses into the function f(h) computes the total value. The example of Levittown's housing developments offers historical context but is not directly related mathematically.
Step-by-step explanation:
The Putnam Clan, led by their charismatic leader, Sir Guy, moved to Keene Valley and began building houses, with each house costing $5 to build. The question involves finding out the total value of the houses in the valley based on the number of houses built, expressed by the function f(h) = 100√h, where h is the number of houses.
To solve a problem like this, one would insert the number of houses (h) into the function to calculate the total value of the houses in the valley. For instance, if they built 100 houses, the total value would be f(100) = 100√100 = 100 * 10 = $1000.
The example provided about Levitt's houses and the historical context of housing development serves to underscore the effects of mass production on housing costs and societal implications, although it is less directly related to the mathematical issue at hand. The concept of equity, as explained with Frank's house, could draw parallels to the perceived value increase of houses in Keene Valley as more houses are built.