p - | 1 | 2 | 3 | 4 |

q - | 5 | 9 | 13| 17|

The table above represents a relationship between p and q. which of the following equations could be used to describe the relationship?

a. q = p+4
b. q = p+7
c. q = 4p+1
d. q = 5p
e. q = 6p-1

Extend the table to show each of the different cases:

p - | 1 | 2 | 3 | 4 |
q - | 5 | 9 | 13| 17|

p+4-| 5 | 6 | ...
p+7-| 8 | ...

5p -| 5 | 10|....
6p-1| 5 | 11|...

We see that cases a,b,d,e all have at least one member that does not match the q-value.

That leaves the case 4p+1 to be investigated. Can you complete the table?