Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon that is 14C is constant. The amount of 14C in an object made from harvested plants, like paper, will decline exponentially according to the equation 4 =Age v.0001215, where A represents the amount of 14C in the object, A, represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested. If an archeological artifact has 30% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year. о 100 years 14,758 years 5715 years 9926 years 28,040 years

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Chapter6: Exponential And Logarithmic Functions
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Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon that is 14C is
constant. The amount of "C in an object made from harvested plants, like paper, will decline exponentially
where A represents the amount of 14C in the object, A, represents
according to the equation 4 =Ane-0.0001213t
the amount of 14C in living organisms, and t is the time in years since the plant was harvested. If an
archeological artifact has 30% as much 14C as a living organism, how old would you predict it to be? Round to
the nearest year.
100 years
14,758 years
5715 years
9926 years
28,040 years
Transcribed Image Text:Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon that is 14C is constant. The amount of "C in an object made from harvested plants, like paper, will decline exponentially where A represents the amount of 14C in the object, A, represents according to the equation 4 =Ane-0.0001213t the amount of 14C in living organisms, and t is the time in years since the plant was harvested. If an archeological artifact has 30% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year. 100 years 14,758 years 5715 years 9926 years 28,040 years
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