Table 11-2 Consider a Small Town with Only Three Families, the Johnson

question 4

Multiple Choice

Table 11-2
Consider a small town with only three families, the Johnson family, the Marshall family, and the Walker family. The town does not currently have any streetlights so it is very dark at night. The three families are considering putting in streetlights on Main Street and are trying to determine how many lights to install. The table below shows each family's willingness to pay for each streetlight.

-Refer to Table 11-2.Suppose the cost to install each streetlight is $450 and the families have agreed to split the cost of the streetlights equally.If the families vote to determine the number of streetlights to install,basing their decision solely on their own willingness to pay (and trying to maximize their own surplus) ,what is the greatest number of streetlights for which the majority of families would vote "yes?"

• A) 1 streetlight
• B) 2 streetlights
• C) 3 streetlights
• D) 4 streetlights

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Definitions:

Function

A pairing between a selection of inputs and a conglomeration of permissible outputs, where the rule is that each input is directly linked to a unique output.

Logarithm

This refers to the exponent that indicates the power to which a base number is raised to obtain a specific number. It's an inverse operation to exponentiation in mathematics.

Vertical Asymptote

A line that a graph approaches but never touches, typically representing values that are not included in the domain of a function.

Domain

The set of all possible input values (x-values) for a given function, over which the function is defined.