Step 1

Our aim is to calculate the distance between −80 and 15 using absolute value.

Step 2

The distance between any two points 'a' and 'b' on th enumber line is \(\displaystyle{\left|{{a}−{b}}\right|}{\quad\text{or}\quad}{\left|{{b}−{a}}\right|}\)

\(\displaystyle\Rightarrow\) The distance between - 80 and 15 is \(\displaystyle{\left|{-{80}-{15}}\right|}={\left|{-{95}}\right|}\), but absolute value changes a negative number into its positive additive inverse.

\(\displaystyle\Rightarrow{\left|{-{80}-{15}}\right|}={\left|{-{95}}\right|}={95}\) units.

Hence, option (c) is correct.

Our aim is to calculate the distance between −80 and 15 using absolute value.

Step 2

The distance between any two points 'a' and 'b' on th enumber line is \(\displaystyle{\left|{{a}−{b}}\right|}{\quad\text{or}\quad}{\left|{{b}−{a}}\right|}\)

\(\displaystyle\Rightarrow\) The distance between - 80 and 15 is \(\displaystyle{\left|{-{80}-{15}}\right|}={\left|{-{95}}\right|}\), but absolute value changes a negative number into its positive additive inverse.

\(\displaystyle\Rightarrow{\left|{-{80}-{15}}\right|}={\left|{-{95}}\right|}={95}\) units.

Hence, option (c) is correct.