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 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 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.
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 first option is the correct response: 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 need to calculate the rate at which each plant is growing.
For the bean plant, it grows 2 inches in 2 days, so the growth rate is 2 inches / 2 days = 1 inch per day.
For the strawberry plant, it grows 4 inches in 5 days, so the growth rate is 4 inches / 5 days = 0.8 inches per day.
Comparing the two growth rates, we can see that the bean plant grows at a faster rate because it grows 1 inch per day, while the strawberry plant grows at a slower rate, growing 0.8 inches 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
The cat slept fewer hours per day than the baby.
The cat slept fewer hours per day than the baby.
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 and the baby slept the same amount of hours total for the week.
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 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.
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.
Use the tables to answer the question.
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?
(1 point)
Responses
Marco spends less time on homework per night.
Marco spends less time on homework per night.
Maribella spends less time on homework per night.
Maribella spends less time on homework per night.
There is not enough information to tell who spends less time doing their homework.
There is not enough information to tell who spends less time doing their homework.
Marco and Maribella spend equal time doing their homework.
Use the tables to answer the question.
Community A
Number of Households Total Number of Children
10 26
20 52
40 104
75 195
Community B
Number of Households Total Number of Children
12 30
24 60
50 125
85 212.5
Based on the tables showing the average number of children per household for two different communities, which community has the most children if both neighborhoods have the same number of households? How many children live in this community if 1,000 households?
(1 point)
Responses
Community B has the most children. There are 212.5 children which is greater than the 195 in Community A.
Community B has the most children. There are 212.5 children which is greater than the 195 in Community A.
Community B has the most children. There are 2,500 children in this community if there are 1,000 households.
Community B has the most children. There are 2,500 children in this community if there are 1,000 households.
Community A has the most children. There are 2,600 children in this community if there are 1,000 households.
Community A has the most children. There are 2,600 children in this community if there are 1,000 households.
Community A has the most children. There are 260 children in this community if there are 1,000 households.
Community A has the most children. There are 260 children in this community if there are 1,000 households.
The correct response is: The cat slept fewer hours per day than the baby.
Based on the tables, we can determine the hourly rate for each company by dividing the pay by the hours of work.
For Company A, the hourly rates are:
- $140.25 / 5.5 hours ≈ $25.50/hour
- $561.00 / 22.0 hours ≈ $25.50/hour
- $892.50 / 35.0 hours ≈ $25.50/hour
- $1,020.00 / 40.0 hours = $25.50/hour
For Company B, the hourly rates are:
- $114.00 / 4.0 hours ≈ $28.50/hour
- $302.10 / 10.6 hours ≈ $28.50/hour
- $584.25 / 20.5 hours ≈ $28.50/hour
- $997.50 / 35.0 hours ≈ $28.50/hour
Therefore, the correct response is: Company B has the best hourly rate of $28.50/hour.
To determine which community has the most children if both neighborhoods have the same number of households, we need to compare the average number of children per household in each community.
For Community A:
- When there are 10 households, there are 26 children, so the average is 26 children / 10 households = 2.6 children per household.
- When there are 20 households, there are 52 children, so the average is 52 children / 20 households = 2.6 children per household.
- When there are 40 households, there are 104 children, so the average is 104 children / 40 households = 2.6 children per household.
- When there are 75 households, there are 195 children, so the average is 195 children / 75 households ≈ 2.6 children per household.
For Community B:
- When there are 12 households, there are 30 children, so the average is 30 children / 12 households = 2.5 children per household.
- When there are 24 households, there are 60 children, so the average is 60 children / 24 households = 2.5 children per household.
- When there are 50 households, there are 125 children, so the average is 125 children / 50 households = 2.5 children per household.
- When there are 85 households, there are 212.5 children, so the average is 212.5 children / 85 households ≈ 2.5 children per household.
Therefore, the correct response is: Community B has the most children. There are 212.5 children which is greater than the 195 in Community A.