Exploring Exponential Growth and Decay Models

What is the initial population of bacteria in the petri dish?

• 100 bacteria

• 350,000 bacteria

• 200 bacteria

• 50 bacteria

After how many hours does the bacterial population reach 350,000?

• 24 hours

• 11 hours and 46 minutes

• 12 hours

• 10 hours and 30 minutes

What rate does the bacterial population increase per hour?

• 50%

• 125%

• 75%

• 100%

What formula represents the population model for bacterial growth?

• P(T) = 100 / 2^T

• P(T) = 100 * T^2

• P(T) = 100 * (1 + R)^T

• P(T) = 100 * 2^T

What is the half-life of the radioactive substance mentioned?

• 40 days

• 30 days

• 20 days

• 10 days

How long does it take for the 5 gram sample to decay to 1 gram?

• 45 days

• 46 days and 11 hours

• 50 days

• 46 days and 10 hours

What does a half-life of 20 days indicate about the radioactive substance?

• It loses 50% of its mass every 20 days

• It doubles every 20 days

• It remains stable over 20 days

• It loses 25% of its mass every 20 days

What is the atmospheric pressure at sea level?

• 10.5 psi

• 12.7 psi

• 14.7 psi

• 16.5 psi

At what altitude does the pressure reach 4 psi?

• 6.76 miles

• 10 miles

• 5 miles

• 8 miles

How is the altitude affecting atmospheric pressure according to the model?

• Pressure increases by half every 3.6 miles

• Pressure remains constant with altitude

• Pressure decreases by half every 3.6 miles

• Pressure doubles every 3.6 miles