Answer: Option d
The y-intercept is 40. This is the cost of registration.
Step-by-step explanation:
Note that in this problem we have 2 variables:
x: number of months
y: average community pool membership cost
The linear equation that models the equation is:
[tex]y = 15x + 40[/tex]
Note that the equation is increasing, that is, as x increases, the variable y increases as well.
To find the interception of the line with the axis and we must do x = 0
[tex]y = 15(0) + 40[/tex]
[tex]y =40[/tex]
This means that the minimum value that the variable y can take is [tex]y =40[/tex]
In other words [tex]y =40[/tex] represents the minimum cost, that is, the registration cost.
The answer is the option d.