An online streaming service charges a monthly fee as well as a one-time sign-up fee. The cost for this online streaming service is modeled by the following function where m represents the number of months the service is subscribed to and C(m) represents the total cost given that amount of time:
C(m) = 11.99m + 7
In the above function, what is the slope?
A. 11.99
B. 7
C. 18.99
The slope of the function is the coefficient of the variable m, which is 11.99.
The answer is A. 11.99.
What is the y-intercept?
The y-intercept is the value of the function when m = 0. In this case, when there are no months subscribed, the total cost is given by C(0).
Substituting m = 0 into the function C(m), we get:
C(0) = 11.99(0) + 7
= 0 + 7
= 7
Therefore, the y-intercept is 7.
The answer is B. 7.
How do we interpret the slope of this function?
The slope of the function, which is 11.99, represents the rate of change of the total cost (C) with respect to the number of months subscribed (m).
In other words, for every additional month subscribed, the total cost increases by $11.99.
So, the interpretation of the slope is that for each month subscribed, the cost increases by $11.99.
How do we interpret the y-intercept of this function?
The y-intercept of the function, which is 7, represents the cost when there are no months subscribed (m = 0).
In other words, the y-intercept is the flat fee or the one-time sign-up fee that is charged regardless of the number of months subscribed.
So, the interpretation of the y-intercept is that even if you do not subscribe to any months, there is still a cost of $7 for signing up for the online streaming service.