Final answer:
The equation that represents the number of packages per dollar for sending packages through UPS is D) P = S/3, where P is the number of packages and S is the dollars spent.
Step-by-step explanation:
The student is asking which equation represents the number of packages per dollar for sending packages through UPS. To determine the correct answer, we need to clarify what each variable in the equations represents. If P represents the number of packages and S represents the dollars spent, then we are looking for an equation that shows packages per dollar. This would be represented as P (packages) divided by S (dollars), which is P = S/3. Thus, the correct answer is D) P = S/3.
An equation like A) P = 3S would imply that the number of packages is directly proportional to the dollars spent by a factor of 3, which isn't 'packages per dollar'. Meanwhile, B) P = S/15 and C) P = 15/S are incorrect because they either represent a different proportionality (B) or a reciprocal relationship (C) between the number of packages and the dollars spent.