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

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

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

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

Answer 1

To compare the proportional relationship of the number of hours Malika's cat and baby sleep each day, we can break down the total hours into a daily average:

1. Cat's Sleep:

   • The cat sleeps 18 hours each day.
   • For the week (7 days), the cat sleeps a total of \( 18 \text{ hours/day} \times 7 \text{ days} = 126 \text{ hours} \).

2. Baby's Sleep:

   • The baby sleeps a total of 91 hours for the week.
   • To find the daily average for the baby, we calculate \( \frac{91 \text{ hours}}{7 \text{ days}} \approx 13 \text{ hours/day} \).

Now we can compare:

• Cat's Daily Sleep: 18 hours
• Baby's Daily Sleep: ~13 hours

From this comparison:

• The cat sleeps more hours per day than the baby.

Based on the given options, the correct conclusion is: The cat slept fewer hours per day than the baby. This statement, however, is incorrect based on the calculations. The correct statement should indicate that the cat sleeps more hours per day. If we consider the choices provided, none accurately reflect this.

To summarize:

• The cat sleeps more hours per day than the baby.
• Both the cat and baby sleep more than half the hours of the day (which is less than 12 hours for a 24-hour day).

It's important to ensure the statements align accurately with the calculations made.