To determine how many inches taller Kalinda is than Terrence, we can compare their heights directly using subtraction.
1. Kalinda's height is given as 68.7 inches.
2. Terrence's height is represented by the variable [tex]\( t \)[/tex].
To find out how many inches taller Kalinda is than Terrence, we subtract Terrence's height from Kalinda's height:
[tex]\[ 68.7 - t \][/tex]
This expression will give us the difference in height between Kalinda and Terrence.
Now, let's analyze the other options provided to ensure we have the correct choice:
- Option 2: [tex]\(\frac{1}{687}\)[/tex]. This represents a fractional value that is unrelated to their heights.
- Option 3: [tex]\(\frac{687}{t}\)[/tex]. This division operation does not make sense in the context of subtracting heights.
- Option 4: [tex]\(1 - 687\)[/tex]. This simple subtraction operation also does not relate to their heights.
Therefore, the correct expression for determining how many inches taller Kalinda is than Terrence is:
[tex]\[ \boxed{68.7 - t} \][/tex]
