Problema Solution
A particular toddler has an average nap of about two hours and sleeps for 13 hours at night. Nap time and noght time sleep can each vary by about 15 minutes. What are the possible time lengthens for the child's total nap and night time sleep
Answer provided by our tutors
let
x = nap time sleep
y = night time sleep
2 - 15/60 <= x <= 2 +15/60
1.75 <= x < 2.25
1 hr 45 min <= x <= 2 hr 15 min
the possible time lengthens for the child's total nap is between 1 h 45 min and 2 hr 15 min.
13 - 15/60 <= y <= 13 + 15/60
12.75 <= y <= 13.25
the possible time lengthens for the night time sleep is between 12 h 45 min and 13 hr 15 min.
the total nap and night time sleep is: x + y thys
1.75 + 12.75 <= x + y <= 2.25 + 13.25
14.5 <= x + y <= 15.5
the possible time lengthens for the child's total nap and night time sleep are between 14 and a half hour and 15 and a half hours.