Final answer:
The rate of change in the equation Y = 15X + 25 is $15, which is the monthly cost of the service, and the initial value is $25, representing a one-time charge.
Step-by-step explanation:
The equation Y = 15X + 25 represents the total cost of a printer ink delivery service for X months. In this equation, 15 represents the rate of change, which is the cost per month for the ink subscription service.
The number 25 represents the initial value, which is a one-time charge that does not depend on the number of months. Therefore, the monthly cost of the service is $15, and there is an initial setup fee or base charge of $25.
The rate of change, or the slope of the line represented by the equation, is $15 per month. This is the cost that is added each additional month to the total cost of the service.
The initial value, or the y-intercept of the graph, is $25. This is the fixed cost that is charged regardless of the subscription period.