Last weel, Malikas cat slept 18hrs each day. her baby slept 91hrs total for the week. compare the proprortional relationship of the number of the number of hours the cat and baby sleep each day.

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.

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

The cat slept fewer hours than the baby

1 answer

To compare the proportional relationship between the number of hours Malika's cat sleeps each day and the total hours the baby sleeps over the week, let's break it down:

  1. Cat's Sleep: The cat sleeps 18 hours each day. Over 7 days, the cat sleeps: \[ 18 \text{ hours/day} \times 7 \text{ days} = 126 \text{ hours} \]

  2. Baby's Sleep: The baby sleeps a total of 91 hours over the week. To find the average hours the baby sleeps per day, we divide the weekly total by 7: \[ \frac{91 \text{ hours}}{7 \text{ days}} \approx 13 \text{ hours/day} \]

Now, we analyze the statements given in your prompt:

  1. The baby slept fewer hours per day than the cat: This statement is true since the baby sleeps approximately 13 hours/day while the cat sleeps 18 hours/day.

  2. Both the cat and the baby spend less than half the hours of the day sleeping: This statement is true. There are 24 hours in a day. Half of 24 is 12 hours. The cat sleeps 18 hours (more than half) and the baby approximately 13 hours (also more than half).

  3. The cat and the baby slept the same amount of hours total for the week: This statement is false. The cat slept 126 hours in a week, while the baby slept only 91 hours.

  4. The cat slept fewer hours than the baby: This statement is false. The cat (126 hours) slept more than the baby (91 hours).

In summary, the only true statement is that the baby slept fewer hours per day than the cat. The other statements are incorrect.