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)
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
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.
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
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.
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
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.
Which ratio is equivalent to 5/4 ?(1 point)
Responses
30/24
30/20
24/30
20/30