John Is Trying to Decide How to Divide His Time

question 46

Multiple Choice

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: $$\begin{array} { | c | c | } \hline \begin{array} { c } \text { Hours Per } \\\text { Day Cleaning } \\\text { Windows }\end{array} & \begin{array} { c } \text { Total Number } \\\text { of Windows } \\\text { Cleaned }\end{array} \\\hline 0 & 0 \\\hline 1 & 7 \\\hline 2 & 11 \\\hline 3 & 14 \\\hline 4 & 16 \\\hline 5 & 17 \\\hline\end{array}$$ What is the lowest price per window that John would be willing to accept to spend 4 hours per day cleaning windows?

• A)$7
• B)$2
• C)$3.50
• D)$11

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Definitions:

Pearson

Refers to Pearson's correlation coefficient, a measure of the linear correlation between two variables, denoted by the letter r.

Interval-Level

A type of data measurement that includes meaningful and equal distances between measurements but lacks a true zero, allowing for the calculation of differences and averages.

Pearson's Correlation Coefficient

A statistical measure of the linear relationship between two variables, ranging from -1 to 1.

Coefficient of Determination

A statistical measure, often represented as R^2, that represents the proportion of variance for a dependent variable that's predictable from an independent variable(s).