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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

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MrRoyal

Answer:

[tex]y = 48000 - 2200x[/tex] --- equation

[tex]y = 37000[/tex] --- value at 5th year

Step-by-step explanation:

Given

[tex]Value = \$48000[/tex]

[tex]Rate = \$2200[/tex] 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.

[tex]y = 48000 - 2200x[/tex]

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

So, we have:

[tex]y = 48000 - 2200 * 5[/tex]

[tex]y = 48000 - 11000[/tex]

[tex]y = 37000[/tex]

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