Rate of Change

A). Boston Months vs. Average Snowfall 

B). In this experiment, I will show how the amount of snowfall varies over the different months of the year. This is useful information for cities because i can be used for preparation to combat severe weather conditions. How does the amount of snow change between months?

C). 

January	38.3
February	18.5
March	1.3
April	0.9
May	0
June	0
July	0
August	0
Septmeber	0
October	0
November	0
December	22

Month	Snowfall (In)
1	38.3
2	18.5
3	1.3
4	0.9
5	0
6	0
7	0
8	0
9	0
10	0
11	0
12	22

D).

E). The ARC between the following months:

Between January (1) and February (2) 

(1, 38.3) and (2, 18.5) = -19.8

Between February (2) and March (3)

(2, 18.5) and (3, 1.3) = -17.2

Between March (3) and April (4)

(3, 1.3) and (4, 0.9) = -0.4

The ARC increases as the warmer months approach and then towards the last month is peaks and significantly increases. I can infer that there is more snow during the colder, winter months like January and February and that there is less snow during warming months if this pattern is continuous.

F). The ARC of the secant lines increase the further the months are from January.

G). Between January (1) and March (3) 

(1, 38.3) and (3, 1.3) --> In January there was 38.3 inches of snow and in March there were 1.3 inches.

(1, 38.3) and (3, 1.3) = -19.8 =-37/2 = -18.5

IRC = -18.5 inches

This amount of won is within the values we calculated earlier and falls somewhere middle to high range of amount of snowfall.

H). I know that this is the IRC because we saw that the slopes increases the further we get from January. Furthermore, it falls within the values I got and is slightly above the smallest value, so we know it follows the tangent.