Question

The half-life of cesium-137 is 30 years. Suppose we have a 13-g sample.

(a) Find a function m(t) = m₀2−^t/h that models the mass remaining after t years. m(t) = ____

(b) Find a function m(t) = m₀e^-rt that models the mass remaining after t years. (Round your r value to four decimal places.) m(t) = _____

(c) How much of the sample will remain after 71 years? (Round your answer to one decimal place.) ____ g

(d) After how many years will only 3 g of the sample remain? (Round your answer to the nearest whole number.) ____ yr

Answer 1