Question

Below, you are given the 2012 value of a product and the rate at which the value is expected to change during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the year. (Let t = 12 represent 2012.) 2012 Value Rate $48,000 $2200 decrease per year

Answer 1

Answer:

$y = 48000 - 2200x$ --- equation

$y = 37000$ --- value at 5th year

Step-by-step explanation:

Given

$Value = \ 48000$

$Rate = \ 2200$ decrease

Required

Determine the linear equation

Determine the value at the 5th year

Represent years with x.

If the rate in 1 year is 2200,

in x years, it'll be 2200x (decrement)

So, the value (y) at x years is.

$y = 48000 - 2200x$

The value at the 5th year is when x = 5.

So, we have:

$y = 48000 - 2200 * 5$

$y = 48000 - 11000$

$y = 37000$