1. A tumor is injected with0.62grams of Iodine-125. After 1 day, the amount of Iodine-125 has decreased by1.15%.

Write exponential decay model with A(t)representing the amount of Iodine-125 remaining in the tumor aftert days. Enclose arguments of the function in parentheses and include a multiplication sign between terms. For example, c*ln(t)

Then use the formula forA(t)to find the amount of Iodine-125 that would remain in the tumor after8.5days. Round your answer to the nearest thousandth (3 decimal places) of a gram.

A(t)=

There will be _____ grams of Iodine-125 after8.5days.

Show your work and explain how you got the answer.

2.

The population of a city is modeled by the equationp(t)=278223e^0.1t where t is measured in years. If the city continues to grow at this rate, how many years will it take for the population to reach one million?

Round your answer to the nearest hundredth of a year (i.e. 2 decimal places).

The population will reach one million in ________ years.

Show your work and explain how you got the answer.