# Calculus

posted by Alex

Suppose that a population of bacteria triples every hour and starts with 700 bacteria.
(a) Find an expression for the number n of bacteria after t hours.

n(t) = ?

(b) Estimate the rate of growth of the bacteria population after 1.5 hours. (Round your answer to the nearest hundred.)
n'(1.5) = ?

1. tre

afdaf

2. nice

A population starts with 1000 individuals and triples every 80 years.

a. give an exponential model for this situation

b. what is the size of the population after 100 years?

## Similar Questions

1. ### Precalculus

NEED HELP ASAP PLEASE!! A bacteria culture starts with 2000 bacteria and the population doubles every 3 hours. a) A function that models the number of bacteria after t hours is p(t)=____________?
2. ### precalculus

A bacteria culture initially contains 1500 bacteria and doubles every half hour. a) Find an expression for the number of bacteria after t hours. Q(t)= b) The number of bacteria after 20 minutes is (the answer must be an integer) c) …
3. ### calculus

A bacteria culture starts with 900 bacteria and the population doubles every 4 hours. Find an expression for the number of bacteria after t hours.
4. ### Calc

The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours. a) Find the initial population. b) Write an exponential …
5. ### math

The number of bacteria in a culture is modeled by n(t)=1710e071t (a) The initial number of bacteria is (b) The relative rate of growth of this bacterium population is (c) The number of bacteria after 3 hours is (d) After how many hours …
6. ### Math

he number of bacteria in a culture is modeled by n(t)=1710e071t (a) The initial number of bacteria is (b) The relative rate of growth of this bacterium population is (c) The number of bacteria after 3 hours is (d) After how many hours …
7. ### math

The number of bacteria in a culture is modeled by: n(t) = 1330e^(0.42t) (a) The initial number of bacteria is: (b) The relative rate of growth of this bacterium population is: (c) The number of bacteria after 3 hours is: (d) After …
8. ### Calculus (math)

A bacteria culture grows with constant relative growth rate. The bacteria count was 784 after 2 hours and 117649 after 6 hours. What is the relative growth rate?
9. ### Calculus

I just need help with one question. A bacteria population starts with 500 bacteria and grows at a rate of r(t) = 548e^(6.5t) bacteria per hour. Determine the number of bacteria after 1 hour. Thank you!
10. ### Calculus

A bacteria population is 3000 at time t = 0 and its rate of growth is 1000 ยท 6t bacteria per hour after t hours. What is the population after one hour?

More Similar Questions