Final answer:
None of the given options represents a proportional relationship with a constant of proportionality equal to 0.7.
Step-by-step explanation:
The question is asking which equation represents a proportional relationship with a constant of proportionality equal to 0.7. A proportional relationship means that the ratio between two variables is constant. This is expressed as y = kx, where k is the constant of proportionality. We are looking for an equation where, when y is divided by x, the result is always 0.7.
- A. 7x = 10 is not proportional as it does not have the form y = kx.
- B. x = 10/7 is not proportional as it implies that y is 1 which makes k = 1/7, not 0.7.
- C. 59 = 32/x can be rewritten as x = 32/59 after solving for x, which does not yield a constant of 0.7.
- D. x = 32/59 if we solve this for y in terms of x, we would not get a proportional relationship; this is also incorrect.
Upon reviewing these options, none of the given equations directly present a constant of proportionality of 0.7 in the form y = 0.7x. However, it's possible the question might contain a typo or mistake as none of the choices correctly represents a proportional relationship with the required constant.