Question: It is estimated that x years from now, the value V(x) of an acre of Carter Hightowers farmland will be increasing at the rate of
It is estimated that x years from now, the value V(x) of an acre of Carter Hightower’s farmland will be increasing at the rate of
dollars per year. The land is currently worth $500 per acre.
a. Find V(x).
b. How much will Carter’s land be worth in 10 years?
c. Use the graphing utility of your calculator with TRACE and ZOOM to determine how long it will take for the land to be worth $1,000 per acre.
V'(x) = 3 0.4x V0.2x + 8,000
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