Question

Test whether the data in the following table follow a proportional relationship. If yes, what is the cost of 5 cans?

No
Yes, $2.50
Yes, $2.25
None of the choices.

Answer 1

To determine if the data in the table follows a proportional relationship, we need to establish if the cost per can is consistent.

Let's analyze the given data points:

1. "Yes, $2.50" indicates that some number of cans costs $2.50.
2. "Yes, $2.25" suggests another quantity of cans costs $2.25.
3. "None of the choices" is not a data point.

Assuming that both "Yes" options (i.e., $2.50 and $2.25) represent costs of differing quantities of cans, we need more information to see if these represent a consistent cost per can.

For a proportional relationship, if we represent:
- Cost = k × Number of cans
- k should be the same for both.

Let's denote:
- The first option "Yes, $2.50" represents a certain number of cans; for example, let's say this is for 1 can. Then k = $2.50 per can.
- The second option "Yes, $2.25" could possibly represent a different number of cans; for instance, let's use 1 can here as well, with k = $2.25 per can.

Since $2.50 does not equal $2.25, we determine that these values do not have a consistent ratio, thus they do not represent a proportional relationship.

Therefore, since there is no consistent cost per can, we cannot determine the cost of 5 cans based on the information given.

The correct answer is:
**None of the choices.**