Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections

Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections. The patient is injected with a tracer (trace amount) that includes gallium-67, which collects in areas of inflammation and infection. The gallium-67 emits radiation that a special camera can detect. Gallium-67 has a half-life of 3.26 days.

a. Give an exponential equation to represent the percentage of the original gallium-67 after

t day

b. Determine the amount of gallium-67 left after 4 days.

c. Solve your equation to determine the time it will take for there to be 1% of the original gallium-

67