Question

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. The y-intercept is 15. This is the cost of registration. The y-intercept is 15. This is the cost per month. The y-intercept is 40. This is the cost per month. The y-intercept is 40. This is the cost of registration.

Answer 1

Answer: The y-intercept is 40. This is the cost of registration.

Step-by-step explanation:

1st - Re-write into y = mx + b form

2nd - Identify your each variable in your equation.

3rd - Write in each variable

4th - Re-write your complete formula

y = 15x + 40

y=y-value 15=slope x=x-value 40=y-intercept

y = y-variable

m = slope

x = x-value

b = y-intercept

15 is the price paid monthly and 40 is the 1 time fee, x represents each month the fee was paid.

So 40 is the y-intercept

Answer 2

The y-intercept is 40. This is the cost of registration ⇒ last answer

Explanation:

* Lets explain how to solve the problem

- 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

∴ The cost consists of two parts:

# Part A: one-time registration fee, it is a fixed amount not depend on

any other condition

# Part B: monthly fee, it depends on the number of months

- He modeled that by the equation y = 15 x + 40, where

# y is the cost for the membership

# 15 is the monthly fee

# x is the number of months

# 40 is the one-time registration

- The form of the equation is y = mx + c, where c is the y-intercept

∴ The y-intercept in the equation y = 15 x + 40 is 40

∴ The y-intercept is the one-time registration fee

* The y-intercept is 40. This is the cost of registration