Question

Find the relationship: An exercise in graphing analysis.
Data and calculations table
X         Y                       X                819
2          3                        32              134
3           0.889                13              1479
5            0.192                443             51.2
7             0.070                8                 461
9             0.033                 24

n=                                        n=

Answer 1

>For the first set of data

1) Organize the data in a table:

x	y
2	3
3	0.889
5	0.192
7	0.070
9	0.033

2) Graph the points (x,y) from the table above using a spreadsheet and use it to find the equation that best represents the data.

As we can see, this data is better represented with an exponential function with the equation:

y = 23.972x^-2.999

Which is the answer to the problem (x and n can be used interchangeably, so the equation could also be expressed as y= 23.972n^-2.999).

>For the second set of data

1) Organize the data in a table:

x	y
32	819
13	134
443	1479
8	51.2
24	461

2) Again, graph the data points and find the equation that best represents the data:

As you can see, this data is better represented with a parabolic function with the equation:

y = -0.0694x² + 34.68x -269.52