1. Is the following an example of inductive reasoning, deductive reasoning, or neither inductive nor deductive reasoning? Explain. A. If 2x – 3 = 9, then 2x = 12.
If 2x = 12, then x = 6.
Therefore, if 2x – 3 = 9, then x = 6.
B. For the past 3 months Mandy has gone to the library on Tuesday. Ms. Walsh, the librarian, told Mr. Todd, her assistant, that Mandy would come to the library today because it was Tuesday.
C. If a number ends in a 6, then the number is divisible by 2. Therefore, the number 36 is divisible by 2.

We have been given an equation that represents the distance an airplane travels in Miles (d) is related to the time in seconds (t).

A. Upon substituting t=1 in our equation we will get,

We can see that our plane is travelling at rate of 0.15 miles per second.

Therefore, plane is flying at the rate of 0.15 miles per second.

B. To find distance traveled by airplane in 30 seconds we will substitute t=30 in our given equation.

 

Therefore, plane will travel 4.5 miles in 30 seconds.

C. To find time it will take to travel 12.75 miles we will substitute d=12.75 in our given equation.

Therefore, plane will take 85 seconds to travel 12.75 miles.

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