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.

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.

anonymous · Answer

A) 2001-1993 = 8 years
68-43.8 =24.2 million growth
24.2/8 = 3.015
y=3.015x + 43.8

anonymous · Answer

B) 2005 -1993 = 12 years
y= 3.015 x 12 +43.8
y = 79.98 tons