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Question

0.25 at 5 min. 1.25 at 12 min. 1.25 from 12 min. to 15 min. 2 miles at 22.5 min.
On Friday, Kaitlyn went to the park to work out. She started with a slow jog at a constant rate for five minutes. She then increased her speed to a faster, constant pace for seven minutes. She took a three-minute break, then ran for another 7.5 minutes at a constant pace to finish her two-mile run. She rested for the remainder of the time. During what domain interval will she reach 1.25 miles?



(1 point)
Responses

15≤s≤22.5
15≤s≤22.5

22.5≤s≤25
22.5≤s≤25

12≤s≤15

12≤s≤15


5≤s<12

Answer 1

To determine the domain interval during which Kaitlyn reaches 1.25 miles, we can analyze her workout timeline based on the provided information.

1. From 0 to 5 minutes: Kaitlyn jogs slowly for 5 minutes, during which she covers 0.25 miles.
2. From 5 to 12 minutes: She increases her speed to a faster pace for the next 7 minutes. We calculate her distance for this period:
   • At the start of 12 minutes, she has completed 0.25 miles + (1.25 miles - 0.25 miles) = 1.25 miles.
3. From 12 to 15 minutes: She takes a 3-minute break and does not cover any distance during this time.
4. From 15 to 22.5 minutes: She runs for another 7.5 minutes to finish the 2-mile run, but she already reached 1.25 miles by the end of 12 minutes.

The critical point where she reaches 1.25 miles is at 12 minutes, which completes her first mile. However, since we are looking for the interval during which she achieved that, she was below 1.25 miles until she was at or just before the 12-minute mark.

Thus, the interval during which Kaitlyn reaches 1.25 miles is:

12 ≤ s ≤ 15

So, the correct response is: 12≤s≤15