q1 .)

There was a sample of750

milligrams of a radioactive substance to start a study. Since then, the sample has decayed by9.3%

each year.

Lett be the number of years since the start of the study. Letybe the mass of the sample in milligrams.

Write an exponential function showing the relationship betweenyandt

.

q2.)

the number of bacteria in a certain population increases according to acontinuous exponential growth model, with a growth rate parameter of3.6 % per hour.

How many hours does it take for the size of the sample to double?

Note:This is acontinuousexponential growth model.

Do not round any intermediate computations, and round your answer to the nearest hundredth