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)

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

1 answer

Let's analyze the information provided.

  1. Cat's sleeping hours:

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

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

Now let's compare their daily sleeping hours:

  • The cat sleeps 18 hours per day.
  • To find the average daily sleep for the baby, we would divide the total weekly sleep by 7: \[ 91 , \text{hours} \div 7 , \text{days} \approx 13 , \text{hours/day} \]

Now we can evaluate the responses:

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

    • This is false (126 hours for the cat vs 91 hours for the baby).
  2. The cat slept fewer hours per day than the baby.

    • This is false (18 hours for the cat vs approximately 13 hours for the baby).
  3. The baby slept fewer hours per day than the cat.

    • This is true (13 hours for the baby vs 18 hours for the cat).
  4. Both the cat and the baby spend less than half the hours of the day sleeping.

    • There are 24 hours in a day, half would be 12 hours.
    • The cat sleeps 18 hours (more than half), and the baby sleeps approximately 13 hours (more than half).

Taking everything into account, the only accurate comparison is:

The baby slept fewer hours per day than the cat.