Question

Write an equation that relates x and y. (table below).

x | y
----
1 | 1
2 | 3
3 | 7
4 | 15
5 | 3
6 | 63
7 | 127

Use your equation to find the value of y when x = 15.

Answer 1

Hello,
f(1)=1=2^1-1
f(2)=3=2^2-1
f(3)=7=2^3-1
....
f(7)=127=2^7-1

f(15)=2^15-1=32767 (max of an integer coded on 16 bits)

Answer 2

So base on your question where as the values of X and Y are in a table form, to find the equation of the table you must first get the slope of the two of the points and then formulate the equation by Y=MX+B and when X is 15 the Y should be 32, 767