Prove using algebra that the difference between the squares of consecutive odd numbers is always a multiple of 8.

See  below

Step-by-step explanation:

Lets label the consecutive odd numbers as 2n+1 and 2n+3 where n is an integer.

We need to prove that

((2n + 3)^2 - (2n + 1)^2 is a multiple of 8.

Using the difference of 2 squares on the left side:-

(2n + 3 + 2n + 1)(2n + 3 -  (2n + 1)

=  (4n + 4)(2)

= 8n + 8  which is a multiple of 8  

Selling price = $46 per toaster

Stocking cost = $28 per toaster
Fixed cost = $2500

a) Let the number of toasters be 'x'
    The total cost of stocking for sale = 28x + 2500

b) Let the number of toasters be 'x'
    Total revenue received from selling the toasters = 46x

c) Break-even is when the cost of production is equal to profit made
    So, we can set up the break-even equation as:
    Production cost = Revenue cost
    28x + 2500 = 46x
    2500 = 46x - 28x
    2500 = 18x
    x = 138.9 ⇒ Rounded to 139 ovens