Final answer:
The linear equation representing the relationship between the number of months of service and the total amount paid is y = 7x.
Step-by-step explanation:
The linear equation representing the relationship between the number of months of service, x, and the total amount paid in dollars, y, for a storage company is y = 7x.
The coefficient of x, which is 7, represents the cost per month of service. The y-intercept of the equation is 0, indicating that there is no initial payment.
For example, if a customer has been using the service for 3 months, the total amount paid would be 7 * 3 = $21.