To represent the relationship "The result is -5 when 12 is added to 5 times a number" using the format \( px + q = r \), we can start by breaking down the sentence:
- "5 times a number" can be expressed as \( 5x \), where \( x \) is the unknown number.
- "12 is added to" means we add 12 to \( 5x \).
- The result of this addition is given as -5.
Putting this all together, we get the equation:
\[ 5x + 12 = -5 \]
So, in the form \( px + q = r \):
- \( p = 5 \)
- \( q = 12 \)
- \( r = -5 \)
Thus, the final representation is:
\[ 5x + 12 = -5 \]