Question 1183030: TV weather forecasters use satellite and radar data to predict where storms will move in order to help viewers know what weather to expect. The map below shows a storm off the eastern coast of the United States. The arrows show the path the heart of the storm traveled over the last 48 hours. If you were a forecaster in the northeast, use the map to answer the following questions.
a. What would you tell your Northeast coast audience? Which type of reasoning—inductive or deductive—did you use? Explain.
b. Write an if-then statement to describe your conjecture.
c. Write the inverse of the statement.
d. Write the converse and contrapositive of the statement.
Below is a link to the picture :)
https://api.agilixbuzz.com/Resz/~0.9sFCjOThCFQcV9YJ.DpPLcLm6WrRXUBKbIwI4apk-EagPDGN57B1GrnngwLE/48780464,FEB,11,3/Assets/Media/Images/41.2-HOT3-Weather.jpg
Found 2 solutions by ikleyn, robertb:
Answer by ikleyn(52767)   (Show Source):
You can put this solution on YOUR website! .
I am not a forecaster in the northeast, and no one tutor of this forum is, as far as I know.
Let me better tell you a joking sentence about such forecasters: they numerically solve the Navier - Stokes
hydrodynamic equations mentally in their heads.
Answer by robertb(5830)  (Show Source):
You can put this solution on YOUR website! You can let A and B be the following statements:
A = The storm continues in its path as indicated
B = The storm lands at red island
a. I would tell the audience "If A, then B.". Since this is a syllogism, the reasoning is deductive.
b. Repeatedly, we have "If A, then B."
c. The inverse of the syllogism is the contrapositive of the converse.
Converse: "If B, then A."
Hence the inverse is "If not A, then not B", i.e.,
"If the storm doesn't continue in its path as indicated, then the storm doesn't land at red island."
d. Converse: "If B, then A."
Contrapositive: "If not B, then not A."
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