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John Is Trying to Decide How to Divide His Time

question 98

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John is trying to decide how to divide his time between his job as a stocker in the local grocery store, which pays $7 per hour for as many hours as he chooses to work, and cleaning windows for the businesses downtown. He makes $2 for every window he cleans. John is indifferent between the two tasks, and the number of windows he can clean depends on how many hours he spends cleaning in a day, as shown in the table below:  Hours Per  Day Cleaning  Windows  Total Number  of Windows  Cleaned 0017211314416517\begin{array} { | c | c | } \hline \begin{array} { c } \text { Hours Per } \\\text { Day Cleaning } \\\text { Windows }\end{array} & \begin{array} { c } \text { Total Number } \\\text { of Windows } \\\text { Cleaned }\end{array} \\\hline 0 & 0 \\\hline 1 & 7 \\\hline 2 & 11 \\\hline 3 & 14 \\\hline 4 & 16 \\\hline 5 & 17 \\\hline\end{array} How many hours a day should John spend cleaning windows?


Definitions:

Referential Intent

The intention behind using words or language to refer to specific objects, actions, or events in the environment.

Fast Mapping

A process in language acquisition where children rapidly learn the meaning of a word after just a brief encounter, contributing to vocabulary growth.

Grammatical Morphemes

The smallest units of language that carry meaning and function to indicate tense, number, possession, and other grammatical aspects.

Relations

The way in which two or more concepts, objects, or people are connected; a thing's effect or relevance to another.

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