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.

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:

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

This means that the minimum value that the variable y can take is

In other words represents the minimum cost, that is, the registration cost.

The answer is the option d.

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497