A population of bacteria follows the continuous exponential growth modelP(t)=P0ekt, where t is in days. The relative(daily) growth rate is 4.8%. The current population is 490.

A) Find the growth model.(the function that represents the population after tdays).

P(t) =

nothing

B) Find the population exactly 1 weeks from now.Round to the nearest bacterium.

The population in 1 weeks will be

nothing

.

C) Find the rate of change in the population exactly 1 weeks from now.

Round to the nearest unit.

The population will be increasing by about ____bacteria per day exactly 1 weeks from now.

D) When will the popualtion reach 5470? ROUND TO 2 DECIMAL PLACES.

The population will reach 5470 about ______days from now.

2,At the beginning of the year1995, the population of Townsville was 3006. By the beginning of

the year 2010, the population had reached 5402. Assume that the population is growingexponentially, answer the following.

A) Estimate the population at the beginning of the year 2019.

ROUND TO THE NEAREST PERSON.

The population at the beginning of 2019 will be about

nothing

.

B) How long(from the beginning of1995) will it take for the population to reach9000?

ROUND TO 2 DECIMAL PLACES.

The population will reach 9000 about

nothing

years after the beginning of 1995.

C) In what yearwill/did the population reach9000?

The population will(or did) hit 9000 in the year

nothing

3.A virus is spreading across an animal shelter. The percentage of animals infected after t days

is given byV(t)=100/1+99e^0.147t.

A) What percentage of animals will be infected after 11 days?

ROUND YOUR ANSWER TO 2 DECIMAL PLACES. (i.e. 12.34%)

About

nothing

% of the animals will be infected after 11 days.

B) How long will it take until exactly90% of the animals areinfected?

ROUND YOUR ANSWER TO 2 DECIMAL PLACES.

90% of the animals will be infected after about

nothing

days.