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
The bean plant grows at a slower rate because it grows 2 inches while the strawberry plant grows 4 inches.
Both plants are growing every day.
The strawberry plant has grown 2 inches more than the bean plant.
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 correct response is: 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 correct response is: 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.
To compare the two proportional relationships, we can look at the growth rate of each plant.
For the bean plant:
- It grows 2 inches in 2 days.
- To find the growth rate per day, we divide 2 inches by 2 days.
- The bean plant grows at a rate of 1 inch per day.
For the strawberry plant:
- It grows 4 inches in 5 days.
- To find the growth rate per day, we divide 4 inches by 5 days.
- The strawberry plant grows at a rate of 0.8 inches per day.
Now, comparing the growth rates:
- The bean plant grows at a rate of 1 inch per day.
- The strawberry plant grows at a rate of 0.8 inches per day.
From this, we can conclude that the bean plant grows at a faster rate because it grows 1 inch per day compared to the strawberry plant which grows 0.8 inches per day. Therefore, the correct statement is: "The bean plant grows at a slower rate because it grows 2 inches while the strawberry plant grows 4 inches."
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.
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.
The cat slept fewer hours per day than the baby.
To compare the proportional relationship of the number of hours the cat and baby sleep each day, we need to calculate the average number of hours they sleep per day.
For the cat:
- The cat slept 18 hours each day.
- To find the average number of hours the cat sleeps per day, we divide 18 hours by 1 day.
- The cat sleeps an average of 18 hours per day.
For the baby:
- The baby slept 91 hours total for the week.
- To find the average number of hours the baby sleeps per day, we divide 91 hours by 7 days (assuming a week has 7 days).
- The baby sleeps an average of 13 hours per day.
Now, comparing the average number of hours they sleep per day:
- The cat sleeps an average of 18 hours per day.
- The baby sleeps an average of 13 hours per day.
From this, we can conclude that the cat sleeps more hours per day than the baby. Therefore, the correct statement is: "The cat slept fewer hours per day than the baby."
Question
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 $28.50/hour.
Company B has the best hourly rate of $997.50/40 hours.
Company A has the best hourly rate of $25.50/hour.
Company A has the best hourly rate of $1,020/40 hours.
To determine which company pays the higher rate, we need to calculate the hourly rate for each company. We can do this by dividing the pay by the hours worked.
For Company A:
- For 5.5 hours of work, the pay is $140.25.
- The hourly rate is $140.25 divided by 5.5 hours, which is approximately $25.50/hour (rounded to two decimal places).
- For 40 hours of work, the pay is $1,020.00.
- The hourly rate is $1,020.00 divided by 40 hours, which is $25.50/hour.
For Company B:
- For 4 hours of work, the pay is $114.00.
- The hourly rate is $114.00 divided by 4 hours, which is $28.50/hour.
- For 35 hours of work, the pay is $997.50.
- The hourly rate is $997.50 divided by 35 hours, which is approximately $28.50/hour (rounded to two decimal places).
From this calculation, we can conclude that Company B has the best hourly rate of $28.50/hour. Therefore, the correct statement is: "Company B has the best hourly rate of $28.50/hour."