Hardy-Weinberg and Rate of Change

The video tutorial covers essential math skills for the AP exam, including rounding numbers, calculating how many times greater one number is than another, using the mark and recapture method for population estimation, understanding the Hardy-Weinberg principle, and calculating the rate of change. The teacher also expresses gratitude to students for their hard work throughout the year.

What is the correct way to round 13.7286 to the nearest tenth?

• 13.73

• 14

• 13.8

• 13.7

If a graph shows values of 623 and 74, how many times greater is 623 compared to 74?

• 8.42

• 9.2

• 6.5

• 7.5

In a mark and recapture study, if 150 individuals are marked and 35 are recaptured, what is the estimated population size if 120 are recaptured in a second sample?

• 450

• 300

• 514

• 600

What is the first step in solving a mark and recapture problem?

• Subtract the recaptured from the total

• Multiply the marked by the recaptured

• Set up an algebraic equation

• Divide the total population by the recaptured number

In a population of 87 birds, 24 show a recessive trait. What is the frequency of the recessive allele (q)?

• 0.75

• 0.47

• 0.53

• 0.27

Using the Hardy-Weinberg principle, if q = 0.53, what is the frequency of the dominant allele (p)?

• 0.47

• 0.53

• 0.27

• 0.75

In a Hardy-Weinberg problem, if 24 out of 87 birds show a recessive trait, what is the value of q^2?

• 0.75

• 0.47

• 0.53

• 0.2758

What is the formula to calculate the rate of change in a graph?

• Run over rise

• Rise over run

• Y over X

• X over Y

If the rise is 5.5 and the run is 2, what is the rate of change?

• 3.5

• 2.75

• 3.0

• 2.5

If a reaction's rate is calculated as 0.95, what does this number represent?

• The total change

• The slope of the line

• The final value

• The initial value