Question

It asks me to use the first step of the three step process to find the pattern of the table.

Answer 1

Answer:

y = 2.54

Step-by-step explanation:

Please input an actual table, such as the following:

x    y

5    12.7

6    15.24

7     17.78

8    20.32

It appears that we're converting inches to centimeters.

It so happens that 1 inch = 2.54 cm.  The '2.54' is the slope of a straight line, as the number of cm equivalent to x inches is c = 2.54x.

Arbitrarily taking the 2 points (5, 12.7) and (8, 20.32), we find the slope of the line through these points.  As we go from the first to the second, the x-value ('run') increases from 5 to 8 (that is, it increases by 3) and the y-value ('rise') increases from 12.7 to 20.32 (that is, it increases by 7.62.  Thus, the slope of the line through these two points is m = rise / run = 7.62 / 3 = 2.54.

Now find the equation of the line thru these two points.   Using the slope-intercept formula y = mx + b and the points (5, 12.7) we get this equation for the y-intercept (b):

12.7 = 2.54(5) + b

which tells us that b = 0.  

Therefore, the desired relationship is   y = 2.54   and this is a proportional relationship (no y-offset).

Answer 2

Answer:

"The number of inches is multiplied by 2.54 to find the number of centimeters."

Step-by-step explanation:

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