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Sagot :
The value of the refrigerator after x years is given by the formula
y = -114.29x + 800
Let the original value of the asset be y₁
The original value of the refrigerator = $800
That is, at x₁ = 0, y₁ = 800
The refrigerator depreciates completely in 7 years. This means it has no value at the end of 7 years
Let the final value of the asset be y₂
The final value of the refrigerator at the end of 7 years = $0 (Since it depreciated completely)
That is, at x₂ = 7, y₂ = 0
The straight line depreciation formula is given as:
y - y₁ = m(x - x₁)
where m is the slope and is calculated as:
[tex]m = \frac{y_2-y_1}{x_2-x_1} \\m = \frac{0-800}{7-0} \\m = \frac{-800}{7} \\m = -114.29[/tex]
Substitute x₁ = 0, y₁ = 800, and m = -114.29 into the equation:
y - y₁ = m(x - x₁)
y - 800 = -114.29(x - 0)
y - 800 = -114.29x
y = -114.29x + 800
The value of the refrigerator after x years is given by the formula
y = -114.29x + 800
Learn more here: https://brainly.com/question/19091134
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