determine if the qusantities in the data table are in a proportional relationship if not indicate why
no the ratio of 3 hours to 27 dollars is not proportional
yes the ratios are proportional
no, the ratio of 1 hour to 9 dollars is not proportional
no, the ratios are not equivalent
It seems that the ratios mentioned in the data table are not equivalent. Therefore, they are not in a proportional relationship.
To determine if the quantities in a data table are in a proportional relationship, we need to check if the ratios between the values are equivalent.
In the first statement, the ratio of 3 hours to 27 dollars can be simplified to 1 hour to 9 dollars. However, the ratio of 1 hour to 9 dollars is not equivalent to the original ratio of 3 hours to 27 dollars. Therefore, the quantities are not in a proportional relationship.
In the second statement, it states that the ratios are proportional. Since there is no additional information provided, we can assume that the ratios between the quantities in the data table are equivalent. Therefore, the quantities are in a proportional relationship.
In the third statement, the ratio of 1 hour to 9 dollars is stated. Similar to the first statement, this ratio is not equivalent to the original ratio of 3 hours to 27 dollars. Hence, the quantities are not in a proportional relationship.
In the fourth statement, it is concluded that the ratios are not equivalent. Without any further context or explanation, we cannot determine if the quantities are proportional or not based on this statement alone.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between two sets of values remain constant.
In the first statement, we have a ratio of 3 hours to 27 dollars. To see if it is proportional, we divide both values by the same number. Let's divide both by 3:
3 hours ÷ 3 = 1 hour
27 dollars ÷ 3 = 9 dollars
The new ratio is 1 hour to 9 dollars. So, in this case, the ratio is not proportional because the values do not remain constant.
In the second statement, it is mentioned that the ratios are proportional. Unfortunately, we do not have the actual values in the data table to verify this claim. It would be necessary to compare the ratios between different sets of values to reach a conclusion.
In the third statement, we have a ratio of 1 hour to 9 dollars. Let's divide both values by 1:
1 hour ÷ 1 = 1 hour
9 dollars ÷ 1 = 9 dollars
The new ratio is still 1 hour to 9 dollars. Therefore, in this case, the ratio is proportional because the values remain constant.
In the fourth statement, it is mentioned that the ratios are not equivalent. However, without additional information or specific ratios to compare, it is impossible to determine if the values are indeed proportional or not.
In summary, to determine if the quantities are in a proportional relationship, we compare the ratios formed by the values. If the ratios remain constant, they are proportional; otherwise, they are not in a proportional relationship.