A restaurant wants to buy paper plates in bulk so they want to join a wholesale store. There are two stores they could join:
Store 1: Charges a membership fee of $100 and charges $25 per bulk
package of paper plates.
Store 2: Charges a membership fee of $50 and charges $30 per bulk
package of paper plates.
Which store would give the overall cheapest price if the restaurant
needed to buy five packages of paper plates?
What is the cost at that store?
$

Store 2

Step-by-step explanation:

Drawing graphs will help you understand better

S1

y = 25x + 100

S2

y = 30x + 50

Where y is the total cost that needs to be paid

And x is the number of packages

Store 1

y = 25(5) + 100

y = 125 + 100

y = 225

Store 2

y = 30(5) + 50

y = 150 + 50

y = 200

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