Question

Why will my crush, thinking about the proportional relationship, agree that they can solve the equation K = 1730/50 to find the constant of proportionality, and Karen says she can solve this equation by multiplying 17/50Xx? What value of

k will each student get using their own method?

a) Because both methods are correct and yield the same value for k
b) Because my crush's method is more accurate
c) Because Karen's method is more efficient
d) Because proportional relationships can only be solved using multiplication

Answer 1

Both the student's crush and Karen are looking to solve for the constant of proportionality, k. They can both use division to find the same value for k, which is 34.6, assuming no additional values for x are given or needed in Karen's method.

Step-by-step explanation:

The student's crush and Karen are attempting to solve for the constant of proportionality, k, in a proportional relationship. The crush's method involves solving the equation K = 1730/50 by dividing 1730 by 50. This will yield k = 34.6. On the other hand, Karen suggests multiplying 17/50 by x to find k. However, without a value for x, this approach cannot specifically determine k. It is implied that Karen may have meant to use a similar division method used by the student's crush, as multiplication by x is not appropriate in this context. Both methods, if invoking division, will correctly yield the same value for k as long as the operations are performed accurately.