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Patrick wanted to gather data about the cost of joining a community pool in his area. He plotted the data and determined that the average community pool membership cost consists of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 40.

Identify and interpret the y-intercept in this model.

a.The y-intercept is 15. This is the cost of registration.
b. The y-intercept is 15. This is the cost per month.
c. The y-intercept is 40. This is the cost per month.
d. The y-intercept is 40. This is the cost of registration.

Respuesta :

luisejr77

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.

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