Jim is an archaeologist who wants to determine the age of a fossil. The half-life of Carbon-14 is 5730 years. Jim determines there must have been 6.6 grams of Carbon-14 in the fossil when the animal was alive. Now there is only 1.2 grams of Carbon-14 remaining. What is the age of the fossil? 14,092.54
13,119.45
16,345.18
15,540.97

14,092.54

Step-by-step explanation:

I just had this question and got it right.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is