Determine if the table shows a proportional relationship.
Time (hours) 0 7 14 21 28
Pay (dollars) 0 91 182 273 364
Yes, it is proportional because the ratios for dollars per hour are all equivalent to 12 dollars per hour.
Yes, it is proportional because the ratios for dollars per hour are all equivalent to 13 dollars per hour.
No, it is not proportional because 91 over 7 does not equal 273 over 21.
No, it is not proportional because 273 over 21 does not equal 364 over 28.
No, it is not proportional because 91 over 7 does not equal 273 over 21.
No, it is not proportional because 91 over 7 does not equal 273 over 21.
To determine if the table shows a proportional relationship, we need to check if the ratios between the hours and the corresponding pay remain the same.
Here's how we can do it:
1. Calculate the ratio between the pay and the hours for each pair of values.
For the given table, the ratios are:
- 0 hours / $0 pay = 0
- 7 hours / $91 pay = 13
- 14 hours / $182 pay = 13
- 21 hours / $273 pay = 13
- 28 hours / $364 pay = 13
2. Compare the ratios. If all the ratios are equal, then the relationship is proportional.
In this case, all the ratios equal 13, except for the first ratio which is 0. Since all the ratios are not equal, the relationship is not proportional.
So, the correct answer is:
No, it is not proportional because 91 over 7 does not equal 273 over 21.
OR
No, it is not proportional because 273 over 21 does not equal 364 over 28.