Sure! Let's break down the given expression step-by-step:
1. Identify the number to be used in the expression: This number will be represented by the variable [tex]\( x \)[/tex].
2. Triple the number: To triple a number means to multiply it by 3. So, if the number is [tex]\( x \)[/tex], then tripling it gives us [tex]\( 3x \)[/tex].
3. Quotient of the tripled number and eighty: The quotient is the result of division. Here, we need to divide the tripled number by 80.
Putting it all together, the quotient of triple a number and eighty is expressed as:
[tex]\[ \frac{3x}{80} \][/tex]
So, the variable expression for "the quotient of triple a number and eighty" is [tex]\( \frac{3x}{80} \)[/tex].
