# Yellow star-thistle is a spiny annual plant native to the me

Yellow star-thistle is a spiny annual plant native to the mediterranean region. The species has invaâ€¦ Show more Yellow star-thistle is a spiny annual plant native to the mediterranean region. The species has invaded several regions of the United states. It is a noxious weed that is unpalatable to livestock. (including the American Bison). Jane, the rancher, discovers that 1 hectare of her 128 hectare pasture has been invaded by star-thistle. A year later, she finds that the weed population has grown to cover 2 hectares. Question: Imagine that Jane discovers the star-thistle population only after it has already covered 32 hectares of her pasture. How many years does she have until the weed completely covers the pasture if its population is growing additively by a constant number each year? How many years does she have if its growing multiplicatively with constant r? (I know the first answer is 96 years to cover the pasture because 128 hectares-32 hectares already covered=96 years left until its completely covered if it is simply adding 1 hectare covered each year, but I dont know how to do the multiplicatively part, HELP!) Thanks in advance! â€¢ Show less

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