Suppose you have just purchased a new 65 " television for \( \$ 500 \). The TV's value is expected to decrease at a rate of \( \$ 80 \) per year. Construct a linear equation in the slope-intercept form that models the value \( V \) of the television after \( x \) years. \( V= \)
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The value \( V \) of the television starts at \( 500 \) dollars and depreciates by \( 80 \) dollars each year. This gives us a slope of \( -80 \). Therefore, the linear equation in slope-intercept form is \( V = -80x + 500 \). Now, as time marches on, your TV will start to lose its value like a fashion statement going out of style! After a few years, you might find that your awesome TV is worth less than what you paid. But hey, keep in mind that good TVs can last a long time; even with depreciation, they might still carry a decent resale value if kept in good shape!
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