Question

frank joined a fitness club. he paid a $50 registration fee, and dues are $12 per month. which expression can be used to find the average monthly cost of an x-month membership at the club?
y = (50 + 12)/x
y = ((50 + 12)x)/x
y = (50 + 12x)/x
y = (50x + 12)/x

Explanation:

Step1: Calculate total cost

The registration fee is $50 (one - time), and the monthly dues are $12. For \(x\) months, the total dues cost is \(12\times x = 12x\). So the total cost for \(x\) months is the sum of the registration fee and the total dues, which is \(50 + 12x\).

Step2: Calculate average monthly cost

The average monthly cost is the total cost divided by the number of months (\(x\)). So the average monthly cost \(y=\frac{50 + 12x}{x}\).

Answer:

\(y = \frac{50+12x}{x}\) (the third option among the given expressions)