A farmer is deciding whether to install a new irrigation system that costs $50,000. The current system costs $120 per acre per year in water and maintenance, while the new system is expected to cost only $75 per acre per year. If the farm has 400 acres, which of the following inequalities can be solved to find , the number of years after which the total cost savings will exceed the installation cost?
50,000 \gt (120 - 75) imes 400y
50,000 \lt 120y - 75y
50,000 - 120 \gt 75y
50,000 \lt (120 - 75) imes 400y
