Question

select the correct answer
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 = 3h + 5 )
b. ( d = 3h - 1 )
c. ( d = 3h - 5 )
d. ( d = 3h - 3h )

Explanation:

Step1: Analyze initial distance

Sarah already traveled 5 miles before the break.

Step2: Analyze distance after break

After the break, she increases her speed to 3 miles per hour and bikes for \( h \) hours. So the distance covered after the break is \( 3h \) miles (since distance = speed × time).

Step3: Total distance formula

Total distance \( D \) is the sum of the distance before the break and the distance after the break. So \( D = 3h + 5 \).

Answer:

A. \( D = 3h + 5 \)