In an experiment, a petri dish with a colony of bacteria is exposed to cold temperatures and then warmed again.

Time (hours) 0 1 2 3 4 5 6

Population (1000s) 5.1 3.03 1.72 1.17 1.38 2.35 4.08

a. Find a quadratic model for the data in the table. Type your answer below.

b. Use the model to estimate the population of bacteria at 9 hours. Type your answer below.

Question

Pamela Burnett

Chemistry

9 March, 15:01

In an experiment, a petri dish with a colony of bacteria is exposed to cold temperatures and then warmed again.

Time (hours) 0 1 2 3 4 5 6

Population (1000s) 5.1 3.03 1.72 1.17 1.38 2.35 4.08

a. Find a quadratic model for the data in the table. Type your answer below.

b. Use the model to estimate the population of bacteria at 9 hours. Type your answer below.

+2

Answers (1)

Know the Answer?

Julio Garrison · Answer 1

a) The equation is, P = 0.38 t^2 - 2.45 t + 5.1

Where,

t = time (hrs)

P = population (1000's).

b) At, t = 9 hours

P = 0.38*9^2 - 2.45*9 + 5.1

P = 13.83.