For 12 months, jeanne has belonged to a book-of-the-month club. jeanne has spent $70.45 on the club. the first month, she paid the monthly fee and spent an additional $10.45 on books. she has only paid the monthly fee since then. what are the initial value and the rate of change of this function?

The initial value is $10.45

The rate of change is  

Step-by-step explanation:

Let

m-----> the the monthly fee  

we know that

Solve for m

Find the linear equation that represent this problem

Let

x -----> the number of months

y-----> amount Jeanne has spent monthly

The equation in slope intercept form is equal to

where

m is the slope (the monthly fee)

so

Remember that

The first month, she paid the monthly fee and spent an additional $10.45

For x=1, y=5+10.45=15.45

substitute

The equation is

therefore

The initial value is $10.45

The rate of change is the slope of the linear function

the answer is 15% decrease