The table below the C-14 Decay curve and the Correction curves contains the % Modern values for 4 samples.

To determine the % Modern values for the four samples, we first need to understand what the C-14 Decay curve and the Correction curves are and how they are used.

C-14 Decay curve: Carbon-14 (C-14) is a radioactive isotope of carbon that is used in radiocarbon dating to estimate the age of ancient artifacts and fossils. C-14 undergoes radioactive decay over time, transforming into Nitrogen-14. The rate of decay follows an exponential curve, known as the C-14 Decay curve.

Correction curves: The C-14 Decay curve is not the only factor considered when determining the age of a sample. Correction curves are used to account for any deviation from the standard decay rate due to various factors, such as changes in atmospheric C-14 levels over time.

Now, to find the % Modern values for the four samples, we need to compare the amount of C-14 remaining in each sample with the amount of C-14 present in a modern reference sample. The % Modern values represent the proportion of C-14 in the samples relative to a reference modern sample.

Typically, scientists use a technique called radiocarbon dating, which involves measuring the ratio of C-14 to C-12 in a sample using a specialized instrument, such as a mass spectrometer. This ratio is then compared to the ratio in a modern reference sample, and the age of the sample is calculated based on the difference between the two ratios.

Without specific information about the actual values in the table or the specific correction curves being used, it is not possible to determine the % Modern values for the four samples. The values in the table would need to be obtained from a reliable source or through scientific analysis, and the specific correction curves being used would also need to be known.

In summary, to find the % Modern values for the four samples, one would need to compare the amount of C-14 remaining in each sample with the amount in a modern reference sample using radiocarbon dating techniques and taking into account any necessary correction curves.