Over a 3/12 year period, 27/12 inches of snow fell in Jackson City. What was the average yearly snowfall in Jackson City?


A) 9 1/4 inches per year



B) 24 inches per year



C) 31 inches per year



D) 7 6/7 inches per year

Respuesta :

Answer:

9 inches per year

Step-by-step explanation:

We are told that in a 3/12 year period, the amount of snowfall was 27/12. Therefore, we can find the amount of snowfall in one year by using the following proportion:

[tex]\frac{3}{12}:\frac{27}{12}=\frac{12}{12}:x[/tex]

where 12/12 represents one year, and x the amount of snowfall in one year. Solving for x, we find

[tex]x=\frac{\frac{27}{12}\cdot \frac{12}{12}}{\frac{3}{12}}=\frac{\frac{27}{12}}{\frac{3}{12}}=\frac{27}{3}=9[/tex]

So, the average yearly snowfall is 9 inches per year.

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