Unit #4 - Lesson #12 Exit Ticket: A population of bacteria can be modeled by P(t)= 540e^0.12t where t is the number of hours since 540 bacteria were recorded.

(a) How many bacteria does the model predict will

be present after 5 hours. Round to the nearest

whole number.

(b) Algebraically determine how many hours, to the

nearest tenth, it will take for the population to

reach 2000.

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?