Last week, Malika’s cat slept 18 hours each day. Her baby slept 91 hours total for the week. Compare the proportional relationship of the number of hours the cat and baby sleep each day.
Options:
The cat slept fewer hours per day than the baby
Both the cat and baby spend less than half the hours of the day sleeping
The cat and the baby slept the same amount of hours total for the week
The baby slept fewer hours per day then the cat
The correct option is: The baby slept fewer hours per day than the cat.
The cat slept 18 hours each day, which is more than the baby's total of 91 hours for the week. Therefore, the baby slept fewer hours per day than the cat.
To compare the proportional relationship of the number of hours the cat and baby sleep each day, we need to calculate both the average number of hours they sleep per day.
Let's start with the cat:
Last week, the cat slept 18 hours each day.
Therefore, we can calculate the average number of hours the cat sleeps per day by dividing the total number of hours slept by the total number of days in a week (7 days):
Average hours of cat's sleep per day = Total hours cat slept / Total days in the week
Average hours of cat's sleep per day = 18 hours / 7 days
Calculating this, we find that the cat sleeps approximately 2.57 (rounded to two decimal places) hours per day.
Now let's calculate the average number of hours the baby sleeps per day:
Last week, the baby slept a total of 91 hours.
Using the same formula as before:
Average hours of baby's sleep per day = Total hours baby slept / Total days in the week
Average hours of baby's sleep per day = 91 hours / 7 days
Calculating this, we find that the baby sleeps approximately 13 hours (rounded to the nearest whole number) per day.
Now that we have calculated the average hours of sleep per day for both the cat and the baby, we can compare them:
The baby slept fewer hours per day than the cat.
Therefore, the correct option is: "The baby slept fewer hours per day than the cat."
To compare the proportional relationship of the number of hours the cat and baby sleep each day, we need to determine the average number of hours each of them slept per day.
Firstly, we need to find the number of hours the cat slept in total for the week. Since the cat slept 18 hours each day, we multiply this by 7 (number of days in a week) to find the total hours:
18 hours/day * 7 days/week = 126 hours for the week
Next, we divide the total number of hours the baby slept for the week (91 hours) by 7 to find the average number of hours per day:
91 hours/7 days = 13 hours/day
Now, we can compare the average number of hours the cat and baby slept per day:
The cat slept 18 hours per day.
The baby slept 13 hours per day.
Comparing these two values, we can conclude that the baby slept fewer hours per day than the cat. Therefore, the correct option is: The baby slept fewer hours per day than the cat.