Final answer:
Purchasing 12 hours of studio recording time costs $950, while the music software program costs $795. The correct answer is option 2.
Step-by-step explanation:
To determine whether it is less expensive to purchase 12 hours of recording time at the studio or a $795 music software program, we need to calculate the total cost of the studio time. The studio charges an initial fee of $50 and an additional $75 per hour for studio time. Therefore, for 12 hours of recording time, the calculation is as follows:
Initial fee: $50
Cost per hour: $75
Number of hours: 12
Total cost of recording time = Initial fee + (Cost per hour × Number of hours)
Total cost of recording time = $50 + ($75 × 12)
Total cost of recording time = $50 + $900
Total cost of recording time = $950
Comparing this to the cost of purchasing the music software program:
Cost of music software program = $795
Conclusion: Purchasing the music software program is less expensive than purchasing 12 hours of recording time at the studio, since $795 is less than $950.
The correct option is 2) Purchase a $795 music software program.