Adream club charges $60 for the first month of membership, and $2 less each month after that. (yes, after a while the dream club starts paying money to members instead of charging them : what is the total membership for a year? for 5 years?

Total membership for a year is $588

Total membership for 5 years is $60

Step-by-step explanation:

This is an arithmetic sequence of the form:

60, 58, 56, 54 ...

The first term is a = 60

the common difference is d = -2

We need to find the total member cost for a year, that is the sum of all the first 12 terms. We use the formula of sum of arithmetic sequence shown below:

Where

a is first term

n is the number of term [here, 12]

d is common difference

From what we know, we can find:

Total membership for a year is $588

Now to find this for 5 years, we have to find 5*12 = 60 months.

So S_60, formula and find:

Total membership for 5 years is $60

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3