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

Question

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

time hours , 0 1 2 3 4 5 6
Population (1000s) 5. 3.0 1.7 1.1 1.3 2.3 4.0
1 3 2 7 8 5 8

My answer is

at^2+bt+c=p t=time(hrs). P= population(1000’s)
t=1, p=3.03
t=2, p=1.72
t=3, p=1.17

am I right ?

Answer 1

that is not the answer, you need to find a, b, c.

Answer 2

at^2+bt+c=p t=time(hrs). P= population(1000’s)
a+b+c=3.03
4a+2b+c=1.72
9a+3b=c=1.17

??

Answer 3

The following table provides phenotypic data for a population of mammoths living in cold environments based on fossil and DNA evidence.

Characteristic Percent of Population Showing Trait by Generation
Generation 1 Generation 2 Generation 3
Tusks greater than 2.5 m in length 25 25 25
Tusks less than 2.5 m in length 75 75 75
Mass greater than 4,000 kg 15 15 15
Mass less than 4,000 kg 85 85 85
Fur thickness greater than 6 cm 15 25 35
Fur thickness less than 6 cm 85 75 65
Based on this data and your knowledge of natural selection, which explanation best explains the trends seen in the data?

Answer 4

Based on the data, it appears that natural selection is not favoring any particular trait in any of the three generations. The percentage of mammoths showing each trait remains the same across all three generations. This could suggest that the environment has not changed significantly to favor one trait over another, or that genetic drift may be playing a role in maintaining the frequency of each trait. It's also possible that other factors, such as sexual selection or migration patterns, are influencing the traits observed in the population. Therefore, it's difficult to determine a clear explanation for the trends seen in the data based solely on the information provided.