Step 1 :
\(a)
\ The amount of a radioactive material present at time
is
.
Where is the original amount of the radioactive material and
is a negative number that presents a rate of decay.
The function is .
Compare the function with .
The decay rate of strontium 90 :
\
The decay rate of strontium 90 is
Step 2 :
\(b)
\The function is .
Substitute and
in the function.
After 10 years, 391.74 grams of strontium 90 be left.
\Step 3 :
\(c)
\The function is .
Substitute and
in the function.
After , 400 grams of strontium 90 be left.
Step 4 :
\(d)
\The function .
Half-life of the function .
Substitute in the function.
The function is .
Solve for .
Half-life of strontium 90 is