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.

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 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.

1 answer

To compare the sleeping hours of Malika's cat and her baby, let's first calculate the total hours they each slept during the week and then determine how many hours they slept per day.

  1. Cat:

    • Sleeps 18 hours each day.
    • Over a week (7 days), the cat sleeps: \[ 18 , \text{hours/day} \times 7 , \text{days} = 126 , \text{hours} \]
  2. Baby:

    • Slept a total of 91 hours for the week.

Next, we calculate how many hours each slept on average per day:

  • Cat's daily average: \[ \frac{126 , \text{hours}}{7 , \text{days}} = 18 , \text{hours/day} \]

  • Baby's daily average: \[ \frac{91 , \text{hours}}{7 , \text{days}} \approx 13 , \text{hours/day} \quad (\text{exact calculation} \quad \frac{91}{7} = 13) \]

Now we can compare their average daily sleep:

  • The cat sleeps 18 hours per day.
  • The baby sleeps approximately 13 hours per day.

Thus, the comparisons from the options given are as follows:

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

    • False. (Cat: 126 hours, Baby: 91 hours)
  2. Both the cat and the baby spend less than half the hours of the day sleeping.

    • True for baby (13 hours < 12 hours) but False for cat (18 hours > 12 hours).
  3. The baby slept fewer hours per day than the cat.

    • True. (Baby: 13 hours/day < Cat: 18 hours/day)
  4. The cat slept fewer hours per day than the baby.

    • False. (Cat: 18 hours/day > Baby: 13 hours/day)

Therefore, the most accurate statement from the options is:

The baby slept fewer hours per day than the cat.