Find an equation of f(t)

Question

Physicians use gallium cirtate-67 to detect certain types of cancer, including lymphoma. Gallium citrate-67 has an effective half-life of 3.22 days-some is lost to radioactive decay, and some is removed through the digestive and urinary tracts. A patient who is breast-feeding is injected with the radioactive element.

Let f(t) be the percentage of the gallium citrate-67 that remains in the patient's body at t days since she was injected. Find an equation of f.

f(t)=

A scan of the gallium citrate-67 is performed 2 days after the injection. What percentage of the element remains? Round to 2 decimal places

The patient can resume breast-feeding when only 0.39% of the gallium citrate-67 remains. When can she resume breast-feeding. Days Round to 1 decimal place.

Answer 1

f(t) = a₀(0.5)^t.3.22

Can you substitute values and answer?