A Man at Point a Directs His Rowboat Due North

question 4

Multiple Choice

A man at point A directs his rowboat due north toward point B, straight across a river of width 100 m. The river current is due east. The man starts across, rowing steadily at 0.75 m/s and reaches the other side of the river at point C, 150 m downstream from his starting point.
-What is the speed of the river?

• A)0.38 m/s
• B)0.67 m/s
• C)1.1 m/s
• D)6.7 m/s
• E)7.5 m/s

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Definitions:

Particular Value

A specific or distinct value within a set or range of data.

Simple Linear Regression

A statistical method for modeling the relationship between a single independent variable and a single dependent variable, assuming a linear relationship.

Residuals

The differences between observed values and the values predicted by a statistical model, indicating the model's accuracy.

Fitted Values

Predicted values calculated from a model that represent the estimated response given the predictors.