Determine if the quantities in the data table are in a proportional relationship. If they are not in a proportional relationship, indicate why. (1 point) Responses No, the ratio of 1 hour to $9 is not proportional. No, the ratio of 1 hour to $9 is not proportional. No, the ratio of 3 hours to $27 is not proportional. No, the ratio of 3 hours to $27 is not proportional. Yes, the ratios are in a proportional relationship. Yes, the ratios are in a proportional relationship. No, the ratios are not equivalent.
The given response is incorrect. The correct response would be: No, the ratios are not equivalent.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between hours and cost are consistent or if they vary.
First, let's examine the given data pairs:
1 hour to $9
3 hours to $27
To check for proportionality, we need to compare the ratios:
For the first data pair, the ratio of 1 hour to $9 can be expressed as 1/9 or 1:9.
For the second data pair, the ratio of 3 hours to $27 can be expressed as 3/27 or 1:9.
Since both ratios reduce to the same value, 1:9, we can conclude that the quantities in the data table are in a proportional relationship.
Therefore, the correct response is: Yes, the ratios are in a proportional relationship.
To determine if the quantities in the data table are in a proportional relationship, we can compare the ratios of hours to dollars.
The given ratios are as follows:
1 hour to $9
3 hours to $27
To check if the ratios are proportional, we need to see if they are equivalent.
Let's find the value of the first ratio:
1 hour / $9 = 1/9
Next, let's find the value of the second ratio:
3 hours / $27 = 3/27 = 1/9
Since both ratios have the same value of 1/9, they are equivalent.
Therefore, the quantities in the data table are in a proportional relationship.