Ruth can read 15 pages in 30 minutes. She decides to create a table to keep track of her progress. From the data provided, at what ratio is the unit rate (constant of proportionality) represented?
(1 point)
Responses
(2, 60)
(2, 60)
(1, 30)
(1, 30)
(1/2, 15)
(15, 30)
17 answers
The unit rate (constant of proportionality) is represented by the ratio of 1:30.
Determine if the data in the table represents a proportional relationship. If not, indicate why.
(1 point)
Hours Biked Miles Traveled
1
2
3
4
Yes, the data represents a proportional relationship.
O Yes, the data represents equivalent ratios.
No, the ratios are not all equivalent.
O No, the ratios cannot be simplified.
12
26
30
48
(1 point)
Hours Biked Miles Traveled
1
2
3
4
Yes, the data represents a proportional relationship.
O Yes, the data represents equivalent ratios.
No, the ratios are not all equivalent.
O No, the ratios cannot be simplified.
12
26
30
48
No, the data does not represent a proportional relationship because the ratios are not all equivalent.
Does the data in this table represent a proportional relationship?
(1 point)
Time (min)
Water Used (gal) 5 10 15 35 50
3 7 10
1 2 3
Yes, the table represents a proportional relationship because the ratios of all data points are equivalent.
O Yes, the table represents a proportional relationship because the unit rate is 1.
No, there is no unit rate for gallons of water used.
No, the unit rate is not equivalent to the other ratios.
(1 point)
Time (min)
Water Used (gal) 5 10 15 35 50
3 7 10
1 2 3
Yes, the table represents a proportional relationship because the ratios of all data points are equivalent.
O Yes, the table represents a proportional relationship because the unit rate is 1.
No, there is no unit rate for gallons of water used.
No, the unit rate is not equivalent to the other ratios.
No, the data in this table does not represent a proportional relationship because the unit rate is not equivalent to the other ratios.
A caterpillar can crawl 1/2 of an inch in 1/4 of a minute. How far can he crawl in 1 minute?(1 point)
Responses
1 inch
1/8 inch
2 inches
1/2 inches
Responses
1 inch
1/8 inch
2 inches
1/2 inches
To find how far the caterpillar can crawl in 1 minute, we need to find the unit rate (constant of proportionality) first.
The caterpillar crawls 1/2 of an inch in 1/4 of a minute.
To find the unit rate, we can divide the distance crawled by the time taken:
Unit Rate = (1/2 inch) / (1/4 minute)
Simplifying, we get:
Unit Rate = (1/2 inch) * (4/1 minute)
Unit Rate = 2/1 inch/minute
So, the caterpillar can crawl 2 inches in 1 minute.
The caterpillar crawls 1/2 of an inch in 1/4 of a minute.
To find the unit rate, we can divide the distance crawled by the time taken:
Unit Rate = (1/2 inch) / (1/4 minute)
Simplifying, we get:
Unit Rate = (1/2 inch) * (4/1 minute)
Unit Rate = 2/1 inch/minute
So, the caterpillar can crawl 2 inches in 1 minute.
Last Saturday, Mr. Stone drove 320 miles in 5 hours. What is the unit rate of miles per hour?(1 point)
Responses
60
60
15
15
64
64
80
Responses
60
60
15
15
64
64
80
To find the unit rate of miles per hour, we divide the total distance (320 miles) by the time taken (5 hours):
Unit rate = 320 miles / 5 hours
Simplifying, we get:
Unit rate = 64 miles/hour
So, the unit rate of miles per hour is 64.
Unit rate = 320 miles / 5 hours
Simplifying, we get:
Unit rate = 64 miles/hour
So, the unit rate of miles per hour is 64.
Which ratio is equivalent to 5/4 ?(1 point)
Responses
30/24
30/20
24/30
20/30
Responses
30/24
30/20
24/30
20/30
To find a ratio that is equivalent to 5/4, we need to find a ratio with the same value but in simplified form.
To simplify 5/4, we can divide both the numerator and denominator by their greatest common divisor, which is 1:
(5 ÷ 1) / (4 ÷ 1) = 5/4
So, the ratio 5/4 is already in simplified form and is equivalent to itself.
To simplify 5/4, we can divide both the numerator and denominator by their greatest common divisor, which is 1:
(5 ÷ 1) / (4 ÷ 1) = 5/4
So, the ratio 5/4 is already in simplified form and is equivalent to itself.
it has to be a answer choice
I apologize for the confusion. Among the answer choices provided, the ratio that is equivalent to 5/4 is 30/24.
isn't that 1 6/24
You are correct, and I apologize for the error in my previous response. The ratio equivalent to 5/4 is indeed 30/24, which can be further simplified to 5/4 or 1 1/4.
Use the table to answer the question.
Number of Cases Ordered Number of Rolls of Paper Towels
1
3
5
10
12
36
60
120
A restaurant is placing an order for paper towels. The data table shows the amount of paper towel rolls compared to
the number of cases. At which ratio in the data table does the constant of proportionality appear? Write your answer as
an ordered pair inside the parentheses provided
Number of Cases Ordered Number of Rolls of Paper Towels
1
3
5
10
12
36
60
120
A restaurant is placing an order for paper towels. The data table shows the amount of paper towel rolls compared to
the number of cases. At which ratio in the data table does the constant of proportionality appear? Write your answer as
an ordered pair inside the parentheses provided
The ratio in the data table where the constant of proportionality appears is (12, 36).
1 answer