Question

Scientists use carbon-14 dating to determine the age of a sample of organic material. a. The amount C (in grams) of a 100-gram sample of carbon-14 remaining after t years is represented by the equation C=100(0.99988)t C = 100 ( 0.99988 ) t . Use a calculator to find the amount of carbon-14 remaining after 4 years. Round your answer to the nearest hundredth. The amount of carbon-14 remaining is about grams. b. What percent of the carbon-14 remains after 4 years? Round your answer to the nearest hundredth. The percent of carbon-14 remaining is about %.

Answer 1

Answer:

a) 99.95 grams are remaining after 4 years.

b) The percent of carbon-14 remaining is about 99.95%

Step-by-step explanation:

The amount of carbon 14 remaining after t years is given by the following equation:

$C(t) = 100(0.99988)^{t}$

a) Amount remaining after 4 years.

$C(t) = 100(0.99988)^{4} = 99.95$

99.95 grams are remaining after 4 years.

b) Percentage remaining after 4 years:

$p = \frac{100*C(4)}{C(0)} = \frc{100*99.95}{100} = 99.95$

The percent of carbon-14 remaining is about 99.95%