2. Joanne earns money by mowing lawns for the summer. She offers two payment plans: Plan 1: Pay $350 for the entire summer
Plan 2: Pay $2 the first week, $4 the second week, $8 the third week, and so on.
A. Do the payments for plan 2 form a geometric sequence? Explain why or why not.
B. Plan 2 is a sequence. Write a recursive rule for plan 2.
For example f(1) =___, f(n) =
C. Write an equation for plan 2. For example f(x) =
D. If you were Joanne's customer, which plan would you choose? (Assume that a
summer is 10 weeks long) Explain your choice using math.

300

Step-by-step explanation:

300

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1