Question

In an experiment, a petri dish with a colony of bacteria is exposed to cold temperatures and then warmed again.
a. Find a quadratic model for the data in the table.
b. Use the model to estimate the population of bacteria at 9 hours.

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

Answer 1

@JakeV8

Answer 2

Do you have a graphing calculator ?

Answer 3

yes but i need the work

Answer 4

The general formula for quadratic eqn is y = ax^2 + bx + c

Answer 5

take any 3 points from the table
(0, 5.1)
(1, 3.03)
(5, 2.35)
plug these points into the above equation and you will get 3 different equations
use substitution or any method that you know to solve these 3 eqns with 3 unknowns

Answer 6

i dont know how to plug points in

Answer 7

ive been on this test for 6 hours i have 15 min left to answer three questions

Answer 8

a point is written in the form (x,y) so plug 0 for x and 5.1 for y to get 1st eqn. follow same method to get other 2 eqns

Answer 9

what

Answer 10

i have 14 minuetes left to answer my last three questions can someone hurry up and explain this

Answer 11

5.1 = a*0^2 + b*0 + c
3.03 = a*1^2 + b*1 + c
2.35 = a*5^2 + b*5 + c

Answer 12

now what is this

Answer 13

solve of a, b and c

Answer 14

omg screw this im skipping this question again and going to my other 2 questions

Answer 15

1tell me about it i hate ashworth @jennyjewell25 lol

Answer 16

At this link is what may be the same problem. See what you think.

http://staff.bbhcsd.org/bradacm/files/2013/10/Enriched-alg-2-trig-unit-2-test-review-key.pdf