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Answer :

Part 1

we have the formula

[tex]F=\frac{9}{5}C+32[/tex]

so

Poconos NY C=15 degrees

substitute in the formula

[tex]\begin{gathered} F=\frac{9}{5}(15)+32 \\ F=27+32 \\ F=59^o \end{gathered}[/tex]

Canada, C=5

substitute

[tex]\begin{gathered} F=\frac{9}{5}(5)+32 \\ F=9+32 \\ F=41^o \end{gathered}[/tex]

Part II

Holiday Inn ------> 80n+10

Days Inn ------> 110n-50

Part III

For n=3

substitute in each expression

Holiday Inn -----> 80(3)+10=$250

Days Inn ------> 110(3)-50=$280

therefore

The cheaper hotel is Holiday Inn

Part IV

Holiday Inn -----> cheaper hotel

Canada ----> the temperature is less than NY

therefore

Erik should go to Canada, to the Holiday Inn