Rate of Change, you are given the dollar value of a product in 2004 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

(Let t=0 represent 2000.)

2004 value = $156 with $4.50 increase per year

... ?

Question

Mathematics

Heidy Bradford

9 June, 12:35

Rate of Change, you are given the dollar value of a product in 2004 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

(Let t=0 represent 2000.)

2004 value = $156 with $4.50 increase per year

... ?

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Answers (1)

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Hillary · Answer 1

When t=4, v = 156the equation of linear liney = mx+bm=slopeb = y-intercept or initial valueapply it to this problemv = 4.5t + bto solve for b, use given info (v=156 when t=4) 156 = 4.5 (4) + bb = 156 - 4.5 (4) b = 156 - 18b = 138

Linear equation:v = 4.5t + 138this means the product had value of $138 in 2000