Final answer:
Sarah would save $30 a month by paying a $5 per-visit fee instead of her current $90 monthly membership, as her total would be $60 for 12 visits per month. Changing to a pay-per-visit plan is a more economical choice for her regular gym routine.
Step-by-step explanation:
Sarah would indeed save money by opting for the pay-per-visit fee at her gym. Given that she works out three times a week for a total of approximately 12 visits a month, calculating the total cost of her gym visits with a pay-per-visit fee results in a more economical option compared to her current monthly membership fee.
If Sarah pays $5 per visit and visits the gym 12 times a month, her total cost calculations would be 12 visits x $5/visit = $60 per month. This is substantially less than the $90 monthly membership fee she is currently paying. Therefore, based on her gym usage, Sarah could reduce her expenses by $30 each month.
These savings could be spent elsewhere or potentially invested in other forms of training, especially considering Sarah's interest in preparing for an upcoming marathon. It is also important to note that if circumstances change and her gym visits become less frequent, her savings could increase further. Thus, for someone conscientious about their regular gym attendance, such as Sarah, switching to a pay-per-visit plan could be a smart financial decision.