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.(1 point)

Question

Responses

Both the cat and the baby spend less than half the hours of the day sleeping.
Both the cat and the 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 cat and the baby slept the same amount of hours total for the week.

The baby slept fewer hours per day than the cat.
The baby slept fewer hours per day than the cat.

The cat slept fewer hours per day than the baby.
The cat slept fewer hours per day than the baby.

Answer 1

To compare the proportional relationship of the hours that Malika's cat and baby sleep, let's break down the information provided.

1. Cat's Sleep:

   • The cat sleeps 18 hours each day.
   • For a week (7 days), the total sleep for the cat is: \[ 18 \text{ hours/day} \times 7 \text{ days} = 126 \text{ hours} \]

2. Baby's Sleep:

   • The baby slept a total of 91 hours for the week.

Now, let's calculate the daily sleep for the baby: \[ 91 \text{ hours total} \div 7 \text{ days} = 13 \text{ hours/day} \]

Comparison:

• Cat sleeps 18 hours per day.
• Baby sleeps 13 hours per day.

Now evaluating the statements:

1. Both the cat and the baby spend less than half the hours of the day sleeping.

   • This statement is false because both sleep more than half of 24 hours (12 hours).

2. The cat and the baby slept the same amount of hours total for the week.

   • This statement is false because the cat slept 126 hours, while the baby slept 91 hours.

3. The baby slept fewer hours per day than the cat.

   • This statement is true (13 hours < 18 hours).

4. The cat slept fewer hours per day than the baby.

   • This statement is false.

Thus, the correct response is: The baby slept fewer hours per day than the cat.