Use the table to answer the question hours, 1,2,3,4, money, 9,18,27,36 determine the quantities in the data table in a proportional relationship, if they are not in a proportional relationship indicate why.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratio between the hours and the money is constant.
Ratio of money to hours:
1 hour → $9
2 hours → $18
3 hours → $27
4 hours → $36
To find the constant ratio, we can divide the money by the corresponding number of hours:
$9 ÷ 1 hour = $9
$18 ÷ 2 hours = $9
$27 ÷ 3 hours = $9
$36 ÷ 4 hours = $9
Since the ratio between the money and the hours is a constant $9, we can conclude that the quantities in the data table are in a proportional relationship. Each hour corresponds to $9, and this ratio remains constant throughout the table.
Use the table to answer the question hours, biked 1,2,3,4 MIles traveled 12, 26, 30,48 to determine if the quantities in the data table are in a proportional relationship, if they do not have a proportional relationship indicate why
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratio between the hours biked and the miles traveled is constant.
Ratio of miles traveled to hours biked:
1 hour biked → 12 miles traveled
2 hours biked → 26 miles traveled
3 hours biked → 30 miles traveled
4 hours biked → 48 miles traveled
To find the constant ratio, we can divide the miles traveled by the corresponding number of hours biked:
12 miles traveled ÷ 1 hour biked = 12
26 miles traveled ÷ 2 hours biked = 13
30 miles traveled ÷ 3 hours biked = 10
48 miles traveled ÷ 4 hours biked = 12
The ratios are not consistent. The ratio changes from 12 to 13 to 10 to 12. Therefore, the quantities in the data table do not have a proportional relationship.
Use the table to answer the question hours, biked 1,2,3,4 MIles traveled 12, 26, 30,48 to determine if the quantities in the data table are in a proportional relationship, if they do not have a proportional relationship indicate why
Yes, this data table has a proportional relationship no, not at all the ratios are proportional or have equivalent,
No, none of the ratios have equivalence
no, you cant bike 12 hours in an hour.
No, the quantities in the data table do not have a proportional relationship. The ratios between the hours biked and the miles traveled are not consistent. For example, the ratio changes from 12 to 26 to 30 to 48, indicating that the relationship between the two quantities is not proportional. Additionally, as you mentioned, it is not possible to bike 12 hours in one hour, which further supports the lack of a proportional relationship.
Use the table to answer the question, time and hours 1/2, 1, 1 1/2, 2 pages read 15, 30, 45, 60, 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 the ratio is the consistent proprotinoality
To determine if the quantities in the data table have a proportional relationship, we can check if the ratio between time and the corresponding number of pages read is consistent.
Ratio of pages read to time:
15 pages read in 1/2 hour
30 pages read in 1 hour
45 pages read in 1 1/2 hours
60 pages read in 2 hours
Let's calculate the ratio by dividing the pages read by the corresponding time:
15 pages ÷ 1/2 hour = 15 ÷ 0.5 = 30
30 pages ÷ 1 hour = 30 ÷ 1 = 30
45 pages ÷ 1 1/2 hours = 45 ÷ 1.5 = 30
60 pages ÷ 2 hours = 60 ÷ 2 = 30
The ratio is consistent at 30 for all the calculations. Therefore, the quantities in the data table have a proportional relationship. For every half hour, Ruth reads 15 pages, and this ratio remains constant throughout the table.
Use the table to answer the question, time and hours 1/2, 1, 1 1/2, 2 pages read 15, 30, 45, 60, 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 the ratio is the consistent proprotinoality
1, 30
1 1/2, 30
15, 1/2
2, 60
From the given data, we have the following:
Time (hours): 1/2, 1, 1 1/2, 2
Pages Read: 15, 30, 45, 60
To determine if there is a consistent ratio or proportionality, we need to check if the ratio between the time (in hours) and the pages read is the same for all the values.
Ratios of pages read to time:
15 pages ÷ (1/2 hour) = 15 ÷ 0.5 = 30
30 pages ÷ 1 hour = 30 ÷ 1 = 30
45 pages ÷ (3/2 hours) = 45 ÷ 1.5 = 30
60 pages ÷ 2 hours = 60 ÷ 2 = 30
As we can see, the ratio between the pages read and the time for each entry is consistently 30. Therefore, the data table shows a consistent proportionality relationship. Ruth is reading at a rate of 30 pages per hour throughout the time periods recorded in the table.