You are given the dollar value of a product in 2012 and the rate at which the value of the product is expected to change during the next 5 years. write a linear equation that gives the dollar value v of the product in terms of the year t. (let t = 0 represent 2010.)

with

dollar value of the product

value's rate of change

time in years (where t=0 represents 2010)

dollar value of product in 2012

Step-by-step explanation:

A linear equation for V in terms of t will have the following form

(equation 1)

where will be the rate at which the value of the value of product is expected to change, is the dollar value of the product at the year (being for 2010) and is a constant number which we should be able to find knowing the value of at some point in time.

Let's call the dollar value of the product in 2012, we can replace this value in the equation 1 in order to find

(equation 1)

So the final equation would be

with

dollar value of the product

value's rate of change

time in years (where t=0 represents 2010)

dollar value of product in 2012

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

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