To find the total number of miles Hayden biked, we need to consider that he rode 5 times, and each time he took three different paths: a 3-mile path, a 2-mile path, and a 214-mile path.
To calculate his total biking distance for each day, the expression for the distance he biked in one day would be the sum of the distances of the three paths:
\( 3 + 2 + 214 \)
Since he rode this 5 times, we multiply the daily total by 5:
\( 5 \times (3 + 2 + 214) \)
Thus, the expression that represents the total number of miles he biked is:
5 × (3 + 2 + 214)
So, the correct response is:
5×(3+2+214)