Final answer:
In Jimmy's equation for mowing lawns, '5' is the hourly rate, and '7' is the initial charge.
Step-by-step explanation:
Jimmy is using the equation y=5x+7 to calculate his earnings from mowing lawns. In this context, the number '5' represents the rate at which Jimmy charges per hour of work (slope of the equation), meaning he charges $5 for every hour spent mowing a lawn. The number '7' represents the initial charge or baseline fee (y-intercept of the equation) that he charges regardless of the time spent, which in this case is $7.