The Sales of Various Types of Lawn and Garden Tools $$\begin{array} { l } H ( t ) = 64 - 6 t \\R ( t ) = 17 t - 143\end{array}$$

question 4

Multiple Choice

The sales of various types of lawn and garden tools vary according to the season.At a certain home improvement store,the monthly sales H of garden hoes (hoes sold per month) decline from July to October whereas the monthly sales of lawn rakes R (rakes sold per month) increase during this same interval.The sales of these two items during the calendar months July-October are modeled by the equations:​ $$\begin{array} { l } H ( t ) = 64 - 6 t \\R ( t ) = 17 t - 143\end{array}$$ ​ where t is the month (t = 7 corresponds to July) .In which month does the number of rakes sold equal the number of hoes sold?
​

• A)September
• B)July
• C)November
• D)October
• E)August

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Definitions:

Test Statistic

A value calculated from sample data that is used in a hypothesis test to determine whether to reject the null hypothesis.

Slope

The rate of change of the dependent variable with respect to an independent variable in a linear relationship.

Standard Error of Estimate

A measure of the accuracy of predictions made with a regression line, indicating the typical distance that the observed values fall from the regression line.

Coefficient of Determination

A statistical measure represented by R-squared, indicating the proportion of the variance in the dependent variable predictable from the independent variable(s).