Question

A store sells lumber by the linear foot (how long the piece is) based on the cross-section of the piece. For a 4x4 cross section the price is $2 per foot for 8 feet or less. Each foot above 8 feet costs an additional $3 per foot above 8 feet. What is the cost of a piece 20 feet long?

Answer 1

A 20-foot long 4x4 piece of lumber costs $52, with the first 8 feet priced at $2 per foot and the remaining 12 feet priced at $3 per foot.

Step-by-step explanation:

To calculate the cost of a 20-foot long piece of lumber with a 4x4 cross-section, we must take into account the price structure given: $2 per foot for the first 8 feet and $3 per additional foot beyond 8 feet. The cost for the first 8 feet is simply 8 feet × $2/foot, which equals $16. For the remaining 12 feet (since 20 feet - 8 feet = 12 feet), the cost is 12 feet × $3/foot, which is $36. Adding these two amounts gives us the total cost of the lumber: $16 + $36 = $52. Therefore, a 20-foot piece of 4x4 lumber costs $52.