10.Admission to the Carnival is $4. Each game played costs an additional $2. a) Write a relation to show how the total cost is related to the number
of games played.
b) Create a table of values to show the total cost if you play
0, 2, 4, 6, 8, or 10 games.
c)Graph the relation. Describe the graph.
d)Use the graph to answer these questions:
i)How much would it cost to play 5 games?
ii)How many games could you play for $26?

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.