Exploring Constant Percentage Rates and Exponential Functions

What does P sub 0 represent in the population model equation?

• Time in years

• Initial population

• Percentage rate as a decimal

• Population after T years

If the R value is positive, what type of function is the population model?

• Decay function

• Linear function

• Static function

• Growth function

How do you convert a percentage to a decimal for use in the population model?

• Multiply by 100

• Divide by 100

• Add 0.01

• Subtract 0.01

What is the formula for the population after T years if the initial population is 12 and the growth rate is 8%?

• P(T) = 12 * 1.08^T

• P(T) = 12 * 0.08^T

• P(T) = 12 / (1 + 0.08)^T

• P(T) = 12 + 0.08 * T

What does a negative R value indicate about the population model?

• Population is decreasing

• Population is increasing

• Data is insufficient

• Population is constant

In a population model, if R = 0.0064, what is the percentage rate?

• 64%

• 6.4%

• 0.064%

• 0.64%

What does the value 1.0064 represent in the context of a population model?

• Initial population

• Total population after one year

• Percentage rate

• 1 plus the growth rate as a decimal

If R = -0.0142, what is the percentage rate and what does it signify?

• -1.42%, indicating growth

• -14.2%, indicating decay

• -1.42%, indicating decay

• 1.42%, indicating growth

What is the correct interpretation of a population model where R = 0.958?

• Growth of 4.2%

• Decay of 4.2%

• Decay of 95.8%

• Growth of 95.8%

Which statement best describes the function of the population model if R = -0.0142?

• The population doubles every year.

• The population increases by 1.42% each year.

• The population remains constant over time.

• The population decreases by 1.42% each year.