Final answer:
To represent the total cost of hiring either disc jockey for any number of hours, two equations can be written: y = 45x for the Music Man disc jockey and y = 35x for the Road Tunes disc jockey.
Step-by-step explanation:
To write equations that represent the total cost of hiring either disc jockey for any number of hours, we can start by defining the variables:
Let x = number of hours
Let y = total cost
For the Music Man disc jockey, the equation is y = 45x, where 45 is the rate in dollars per hour.
For the Road Tunes disc jockey, the equation is y = 35x, where 35 is the rate in dollars per hour.