In 1993, Americans recycled 43.8 million tons of solid waste. In 2001, the figur

Question

In 1993, Americans recycled 43.8 million tons of solid waste. In 2001, the figure grew to 68.0 million tons. Let N(t)=the number of tons recycled, in millions, and t=the number of years since 1993.
a) Find a linear function that fits the data. b) Use the function of part (a) to estimate the amount recycled in 2005 In 1993, Americans recycled 43.8 million tons of solid waste. In 2001, the figure grew to 68.0 million tons. Let N(t)=the number of tons recycled, in millions, and t=the number of years since 1993.
a) Find a linear function that fits the data. b) Use the function of part (a) to estimate the amount recycled in 2005

Explanation / Answer

linear function is give by the formula y = mx + b or F(t) = mx+ b
In 1993 t=0 and F(t) = 43.8
F(t) = mx+ b
F(0) = m(0)+ b = 43.8
b = 43.8 In 2001, t=8 F(t) =68.0 F(t) = mx+ 43.8 F(t) = m(8) + 43.8 = 68.0 8m = 68.0 - 43.8 8m = 24.2 m = 24.2/8 m = 3.025 now that we have the data the formula will be: F(t) = 3.025x + 43.8 b) in 2005, t = 12 F(t) = 3.025x + 43.8 F(12) = 3.025(12) + 43.8 F(12) = 36.3 + 43.8 F(12) = 80.1 millons of ton. PLEASE RATE LIFESAVER IF THIS HELP!!!!
In 2001, t=8 F(t) =68.0 F(t) = mx+ 43.8 F(t) = m(8) + 43.8 = 68.0 8m = 68.0 - 43.8 8m = 24.2 m = 24.2/8 m = 3.025 now that we have the data the formula will be: F(t) = 3.025x + 43.8 b) in 2005, t = 12 F(t) = 3.025x + 43.8 F(12) = 3.025(12) + 43.8 F(12) = 36.3 + 43.8 F(12) = 80.1 millons of ton. PLEASE RATE LIFESAVER IF THIS HELP!!!!

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