Piney Woods Conservation is a company that attempts to help offset the effects of deforestation. A local forest contains approximately 500,000 trees. Lumber companies are continuously clearing the forest at a rate of 4.7% per year. Piney Woods Conservation is about to begin planting trees in the region throughout each year at an average rate of 15,000 trees per year. They are curious to know how long it will be before the number of trees they have planted will be equal to the number of trees still remaining in the forest.

Answer:15.7 yearsStep-by-step explanation:we know thatThe deforestation is a exponential function of the form[tex]y=a(b)^{x}[/tex]wherey ----> the number of trees still remaining in the forestx ----> the number of yearsa is the initial value (a=500,000 threes)b is the baseb=100%-4.7%=95.3%=95.3/100=0.953substitute[tex]y=500,000(0.953)^{x}[/tex]The linear equation of planting threes in the region is equal to[tex]y=15,000x[/tex]using a graphing toolSolve the system of equationsThe intersection point is (15.7,235,110)see the attached figurethereforeFor x=15.7 years The number of trees they have planted will be equal to the number of trees still remaining in the forest