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)
To compare the proportional relationship of the number of hours the cat and baby sleep each day, we need to find the number of hours each of them sleeps per day.
The cat sleeps 18 hours per day.
To find how many hours the baby slept each day, we need to divide the total number of hours the baby slept for the week (91) by the number of days in a week (7):
91 hours / 7 days = 13 hours per day.
Therefore, the proportional relationship is that the cat sleeps 18 hours per day, while the baby sleeps 13 hours per day.
A bean plant grows 2 inches in 2 days. A strawberry plant grows 4 inches in 5 days. Compare the two proportional relationships. Assume each plant is growing at a constant rate.(1 point)
To compare the two proportional relationships, we need to find the growth rate for each plant.
For the bean plant:
2 inches in 2 days.
So, 1 inch in 1 day.
Therefore, the growth rate of the bean plant is 1 inch per day.
For the strawberry plant:
4 inches in 5 days.
So, 0.8 inches in 1 day.
Therefore, the growth rate of the strawberry plant is 0.8 inches per day.
Comparing the growth rates, we find that the bean plant grows at a faster rate, with a growth rate of 1 inch per day, while the strawberry plant grows at a slower rate, with a growth rate of 0.8 inches per day.
Company A
Hours of Work Pay ($)
5.5 140.25
22.0 561.00
35.0 892.50
40.0 1,020.00
Company B
Hours of Work Pay ($)
4.0 114.00
10.6 302.10
20.5 584.25
35.0 997.50
Based on the tables showing what two leading gas brands pay employees, compare which company pays the higher rate. Which answer provides the correct company and hourly rate?
To compare which company pays the higher rate, we need to look at the hourly rate for each company.
For Company A:
Hourly rate for 5.5 hours of work: 140.25 / 5.5 = 25.50 dollars per hour
Hourly rate for 22.0 hours of work: 561.00 / 22.0 = 25.50 dollars per hour
Hourly rate for 35.0 hours of work: 892.50 / 35.0 = 25.50 dollars per hour
Hourly rate for 40.0 hours of work: 1,020.00 / 40.0 = 25.50 dollars per hour
For Company B:
Hourly rate for 4.0 hours of work: 114.00 / 4.0 = 28.50 dollars per hour
Hourly rate for 10.6 hours of work: 302.10 / 10.6 = 28.50 dollars per hour
Hourly rate for 20.5 hours of work: 584.25 / 20.5 = 28.50 dollars per hour
Hourly rate for 35.0 hours of work: 997.50 / 35.0 = 28.50 dollars per hour
Comparing the hourly rates, we find that Company B pays the higher rate, with an hourly rate of 28.50 dollars per hour.
Therefore, the correct answer is:
Company B with an hourly rate of 28.50 dollars per hour.
Marco’s Homework
Number of Days Number of Hours
3 3.25
9 9.75
12 13.0
30 32.5
Maribella’s Homework
Number of Days Number of Hours
4 4.2
8 8.4
20 21.0
28 29.4
Based on the tables showing the hours of homework done by Marco and Maribella for different periods of time, which statement is correct?
To determine which statement is correct, we need to compare the hours of homework done by Marco and Maribella for different periods of time.
Looking at the tables, we can see that for each corresponding number of days, Maribella's hours of homework are greater than Marco's.
For example:
- For 3 days, Marco did 3.25 hours of homework, while Maribella did 4.2 hours.
- For 9 days, Marco did 9.75 hours of homework, while Maribella did 8.4 hours.
- For 12 days, Marco did 13.0 hours of homework, while Maribella did 21.0 hours.
- For 30 days, Marco did 32.5 hours of homework, while Maribella did 29.4 hours.
From these comparisons, we can conclude that the statement "Maribella consistently does more hours of homework than Marco" is correct.
Therefore, the correct statement is:
"Maribella consistently does more hours of homework than Marco."
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To compare the proportional relationship of the number of hours the cat and baby sleep each day, we need to calculate the number of hours each of them sleep per day.
First, let's find out how many days were in the week. Since there are 7 days in a week:
Number of days in the week = 7
Now, let's calculate the number of hours the cat slept each day:
Number of hours the cat slept in a week = 18 hours/day x 7 days = 126 hours
Next, let's calculate the number of hours the baby slept each day:
Number of hours the baby slept in a week = 91 hours
Now, we can find the number of hours the baby slept each day:
Number of hours the baby slept per day = 91 hours / 7 days ≈ 13 hours (rounded to the nearest whole number)
So, the proportional relationship is:
The cat sleeps approximately 18 hours per day, while the baby sleeps approximately 13 hours per day.
Therefore, the cat sleeps longer than the baby each day.