Answer:
[tex]2\dfrac{31}{40}\ \text{miles}[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the distance Bruce hiked on Saturday.
[tex]y[/tex] be distance Bruce hiked on the following week which is [tex]\dfrac{3}{4}[/tex] of the distance he hiked on Saturday.
The equation will be
[tex]y=\dfrac{3}{4}x[/tex]
The distance he hiked on Saturday was [tex]3\dfrac{7}{10}\ \text{miles}[/tex].
[tex]y=\dfrac{3}{4}\times 3\dfrac{7}{10}\\\Rightarrow y=\dfrac{3}{4}\times \dfrac{37}{10}\\\Rightarrow y=\dfrac{111}{40}=2\dfrac{31}{40}=2.775\ \text{miles}[/tex]
The distance that Bruce hiked the following week was [tex]2\dfrac{31}{40}\ \text{miles}[/tex].
