Final answer:
None of the given points (A, B, C, D, or E) follow the direct proportional relationship where y = kx with k = 8. For any correct point, the y-value should be 8 times the x-value.
Step-by-step explanation:
If x and y are directly proportional with a proportionality constant k = 8, this means that y = kx. Therefore, for every value of x, the corresponding value of y should be 8 times the value of x. Let's apply this to determine which of the given points are correct under this direct relationship.
- For point A (1, 60.5), we should have y = 8(1) = 8, which is not equal to 60.5, so this point is incorrect.
- For point B (1, 80), we should also have y = 8(1) = 8, which is not equal to 80, so this point is incorrect.
- For point C (1, 38), y = 8(1) = 8, which does not match 38, hence this is incorrect.
- For point D (1, 160.5), y = 8(1) = 8, not 160.5, thus this point is incorrect too.
- For point E (2, 180), y = 8(2) = 16, which does not equal 180, making this point incorrect as well.
None of the given points follows the direct relationship with k = 8. If they were correct under this relationship, the y-values should be exactly 8 times their respective x-values.