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)
Responses
Both plants are growing every day.
Both plants are growing every day.
The bean plant grows at a slower rate because it grows 2 inches while the strawberry plant grows 4 inches.
The bean plant grows at a slower rate because it grows 2 inches while the strawberry plant grows 4 inches.
The strawberry plant grows at a slower rate because it grows 0.8 inches per day while the bean plant grows 1 inch per day.
The strawberry plant grows at a slower rate because it grows 0.8 inches per day while the bean plant grows 1 inch per day.
The strawberry plant has grown 2 inches more than the bean plant.
The bean plant grows at a slower rate because it grows 2 inches while the strawberry plant grows 4 inches.
To compare the two proportional relationships between the bean plant and the strawberry plant, we need to consider the growth rate of each plant.
The problem states that the bean plant grows 2 inches in 2 days, which means it is growing at a rate of 1 inch per day (2 inches divided by 2 days).
On the other hand, the strawberry plant grows 4 inches in 5 days, which means it is growing at a rate of 0.8 inches per day (4 inches divided by 5 days).
Therefore, the strawberry plant is growing at a slower rate than the bean plant because it only grows 0.8 inches per day while the bean plant grows 1 inch per day.
The strawberry plant grows at a slower rate because it grows 0.8 inches per day while the bean plant grows 1 inch per day.
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
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 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.
The cat and the baby slept the same amount of hours total for the week.
To compare the proportional relationship between the number of hours the cat and the baby sleep each day, we need to calculate the average number of hours they sleep per day.
The problem states that the cat sleeps 18 hours each day, so the cat sleeps an average of 18 hours per day.
The problem also states that the baby slept 91 hours total for the week. To find the average number of hours the baby sleeps per day, we divide 91 by 7 (number of days in a week). The baby sleeps approximately 13 hours per day.
Therefore, the cat sleeps more hours per day than the baby. The proportional relationship is that the cat sleeps more hours per day than the baby.
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
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 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.
The cat and the baby slept the same amount of hours total for the week.
choose one
The baby slept fewer hours per day than the cat.
Use the tables to answer the question.
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?
(1 point)
Responses
Company B has the best hourly rate of $997.50/40 hours.
Company B has the best hourly rate of $997.50/40 hours.
Company B has the best hourly rate of $28.50/hour.
Company B has the best hourly rate of $28.50/hour.
Company A has the best hourly rate of $25.50/hour.
Company A has the best hourly rate of $25.50/hour.
Company A has the best hourly rate of $1,020/40 hours.
Company A has the best hourly rate of $1,020/40 hours.
To determine which company pays the higher rate, we need to divide the pay by the number of hours worked for each entry in the table.
For Company A:
- The first entry has a pay of $140.25 for 5.5 hours of work. Dividing the pay by the hours gives us an hourly rate of $140.25/5.5 = $25.50/hour.
- The second entry has a pay of $561.00 for 22.0 hours of work. Dividing the pay by the hours gives us an hourly rate of $561.00/22.0 = $25.50/hour.
- The third entry has a pay of $892.50 for 35.0 hours of work. Dividing the pay by the hours gives us an hourly rate of $892.50/35.0 = $25.50/hour.
- The fourth entry has a pay of $1,020.00 for 40.0 hours of work. Dividing the pay by the hours gives us an hourly rate of $1,020.00/40.0 = $25.50/hour.
For Company B:
- The first entry has a pay of $114.00 for 4.0 hours of work. Dividing the pay by the hours gives us an hourly rate of $114.00/4.0 = $28.50/hour.
- The second entry has a pay of $302.10 for 10.6 hours of work. Dividing the pay by the hours gives us an hourly rate of $302.10/10.6 = $28.50/hour.
- The third entry has a pay of $584.25 for 20.5 hours of work. Dividing the pay by the hours gives us an hourly rate of $584.25/20.5 = $28.50/hour.
- The fourth entry has a pay of $997.50 for 35.0 hours of work. Dividing the pay by the hours gives us an hourly rate of $997.50/35.0 = $28.50/hour.
Comparing the two companies, we can see that Company B has a higher hourly rate of $28.50/hour, while Company A has an hourly rate of $25.50/hour.
Therefore, the correct answer is: Company B has the best hourly rate of $28.50/hour.