Sarah is hiking on a trail near her home. She traveled 5 miles before stopping for a break. After the break, Sarah plans on increasing her speed to 3 miles per hour. Which equation models the total distance, \( D \), Sarah travels after hiking for an additional \( h \) hours? A. \( D=3 h-5 \) B. \( D=3 h+5 \) C. \( D=3(h-5) \) D. \( D=5 h+3 \)

To model the total distance \( D \) that Sarah travels after hiking for an additional \( h \) hours, we need to consider both the distance she has already traveled and the distance she will travel after her break. 1. Sarah has already traveled 5 miles. 2. After her break, she will hike at a speed of 3 miles per hour for \( h \) hours. The distance she will travel after her break can be calculated using the formula for distance, which is speed multiplied by time. Therefore, the distance she travels after her break is \( 3h \). To find the total distance \( D \), we add the distance she has already traveled (5 miles) to the distance she will travel after her break (3h): \[ D = 5 + 3h \] This can be rearranged to: \[ D = 3h + 5 \] Thus, the correct equation that models the total distance \( D \) Sarah travels after hiking for an additional \( h \) hours is: **B. \( D = 3h + 5 \)**.