Green lumber is about 40% water by weight. The moisture content of lumber used to build houses is typically 10% or less. For each of the two kilns described below, how long should lumber be dried before it is used to build a house?
Kiln 1: y=(2/3)^x
Kiln 2: y=(3/4)^x
Thank you
+128407
I'm taking a really wild guess, here.....
I think the equations should be of this form......y = C(a/b)^x where C = the percent of water in the wood at x = 0 (in other words, at time 0 ) = 40% or just .40 .....if so......look at both graphs, here
https://www.desmos.com/calculator/qkd7aonn59
For the graph of y = .40(2/3)^x, the time required to dry the wood to 10% water content is about 3.42 hours
Fot the other graph of y = .40(3/4)^x, the time is about 4.82 hours
This makes sense......the first kiln takes the water out of the wood at a faster rate - at least, initially - than the second one .......{we can prove this with Calculus.......}
+128407
I'm taking a really wild guess, here.....
I think the equations should be of this form......y = C(a/b)^x where C = the percent of water in the wood at x = 0 (in other words, at time 0 ) = 40% or just .40 .....if so......look at both graphs, here
https://www.desmos.com/calculator/qkd7aonn59
For the graph of y = .40(2/3)^x, the time required to dry the wood to 10% water content is about 3.42 hours
Fot the other graph of y = .40(3/4)^x, the time is about 4.82 hours
This makes sense......the first kiln takes the water out of the wood at a faster rate - at least, initially - than the second one .......{we can prove this with Calculus.......}
