Last week, Malika’s cat sleeps 18 hours each day. Her baby sleeps 91 hours total for the week. Compare the proportional relationship of the number of hours the cat and baby sleep each day.
To compare the proportional relationship of the number of hours the cat and baby sleep each day, we need to find the average number of hours they sleep each day.
The cat sleeps 18 hours each day.
To find the average number of hours the cat sleeps each day, we divide the total number of hours the cat sleeps in a week (18 hours/day x 7 days/week) by the number of days in a week (7 days):
18 hours/day x 7 days/week = 126 hours/week
126 hours/week ÷ 7 days/week = 18 hours/day
The baby sleeps 91 hours total for the week.
To find the average number of hours the baby sleeps each day, we divide the total number of hours the baby sleeps in a week (91 hours) by the number of days in a week (7 days):
91 hours ÷ 7 days/week = 13 hours/day
Comparing the averages, we find that the cat sleeps 18 hours each day while the baby sleeps 13 hours each day.
Thus, the proportional relationship is that the cat sleeps 18/13 hours for each hour the baby sleeps.
To compare the proportional relationship of the number of hours the cat and baby sleep each day, we need to divide the total hours slept by the number of days.
Step 1: Calculate the total number of hours the cat sleeps in a week.
The cat sleeps 18 hours each day.
So, in a week, the cat sleeps 18 hours/day x 7 days/week = 126 hours.
Step 2: Calculate the average number of hours the cat sleeps each day.
The cat sleeps 126 hours in a week.
So, the average number of hours the cat sleeps each day is 126 hours/7 days = 18 hours/day.
Step 3: Calculate the average number of hours the baby sleeps each day.
The baby sleeps 91 hours total for the week.
So, the average number of hours the baby sleeps each day is 91 hours/7 days = 13 hours/day.
Step 4: Compare the proportional relationship.
The cat sleeps 18 hours/day on average, while the baby sleeps 13 hours/day on average.
Therefore, the proportional relationship is that the cat sleeps more hours per day compared to the baby.
To compare the proportional relationship of the number of hours the cat and baby sleep each day, we need to calculate the average number of hours each of them sleep per day.
First, let's calculate the average number of hours Malika's cat sleeps each day. We know that the cat sleeps 18 hours each day and there are 7 days in a week. So, to find the average number of hours per day, we divide the total number of hours in a week by the number of days in a week:
Average hours cat sleeps per day = (Total hours cat sleeps in a week) / (Number of days in a week)
= (18 hours) / (7 days)
≈ 2.57 hours per day (rounded to two decimal places)
Next, let's calculate the average number of hours Malika's baby sleeps each day. We know that the baby sleeps a total of 91 hours for the week. So, to find the average number of hours per day, we again divide the total number of hours in a week by the number of days in a week:
Average hours baby sleeps per day = (Total hours baby sleeps in a week) / (Number of days in a week)
= (91 hours) / (7 days)
≈ 13 hours per day (rounded to two decimal places)
Now we can compare the proportional relationship between the number of hours the cat and baby sleep each day. The cat sleeps approximately 2.57 hours per day, while the baby sleeps approximately 13 hours per day. Therefore, the baby sleeps about 5 times more than the cat per day.