Question

if there is currently 10 grams of carbon - 14, as shown, about how long would it take for there to be 5 grams of carbon - 14?
● a. about 7 thousand years
○ b. about 14 thousand years
○ c. about 14 years
○ d. about 7 years

Explanation:

Step1: Analyze the graph

We look at the graph where the \(y -\)axis represents the amount of Carbon - 14 (in grams) and the \(x -\)axis represents time (in thousands of years).

Step2: Locate the points

We start at the point \((0,10)\) (since initially there are 10 grams of Carbon - 14). We need to find the \(x -\)value when \(y = 5\).

Step3: Read the \(x -\)value

By observing the graph, when \(y = 5\), the corresponding \(x -\)value (time in thousands of years) is approximately \(7\).

Answer:

A. about 7 thousand years