Question

The demand for lumber is increasing exponentially. The amount of timber​ N, in billion cubic​ feet, consumed t years after 1997 can be approximated by N(t)=66(1.018)t, where t=0 corresponds to 1997.How much lumber was consumed in​ 1997? ( in billions cubic feet )How much lumber was consumed in​ 1998? (round to the nearest hundredth) Estimate the amount of lumber which will be consumed in 2000. (round to the nearest hundredth)Estimate the amount of lumber which will be consumed in 2010. (round to the nearest hundredth)What would the graph of this look like? (round to the nearest hundredth)

Answer 1

Answer:

• 1997: 66.00 billion cubic ft
• 1998: 67.19 billion cubic ft
• 2000: 69.63 billion cubic ft
• 2010: 83.23 billion cubic ft

Step-by-step explanation:

For repetitive calculations, it is convenient to let a spreadsheet or calculator do them. See attached for the table of values and the graph. The graph is that of an exponential curve. Its slope increases at an increasing rate.