Describe a real world scenario that is an arithmetic series. show your work as you find the 7th term of your scenario.

A new night club opens. The first night 100 patrons attend. For each successive night for a month, 20 more attend. How many attend on the 7th night?

Arithmetic sequence formula finding the nth number:

an = a1 + (n – 1)d

A(7) = 100 + (7-1) 20

A(7) = 100 + (6)20

A(7) = 100 + 120

A(7) = 220

So, on the 7th night, there 220 patrons.

If it's a linear equation

seems to be y=cost and x=years after 2010
so

find sllope
slope=change in cost/number of years
that is 750-350=change in cost=400
change in years is 2010-2014=4

so 400/4=100

y=100x+b
find b
started in 2010
she charged 350 initially
so that is 0 years after 2010
350=100(0)+b
350=b

so the equation is y=100x+350

A. rate of change is $100 per year, initial value is $350 becauuse it said so in the problem

B. equation is y=100x+350 if x is number of years after 2010