Exploring Exponential Growth and Decay Models

What does the graph of an exponential growth function look like?

• It decreases from left to right.

• It is a straight line.

• It increases from left to right.

• It remains constant.

How do you identify an exponential growth equation?

• The base (b) is less than one.

• The base (b) is equal to zero.

• The base (b) is greater than one.

• The base (b) is equal to one.

What is the role of the 'a' value in an exponential function?

• It is the exponent in the equation.

• It determines the slope of the graph.

• It represents the y-intercept or the starting value.

• It indicates the rate of growth or decay.

What characterizes an exponential decay function?

• The base (b) is equal to one.

• The base (b) is greater than one.

• The base (b) is less than one but greater than zero.

• The base (b) is negative.

How can you find the decay factor in an exponential decay equation?

• By finding the reciprocal of the base.

• By dividing the y-intercept by the base.

• By adding one to the base.

• By subtracting the base from one.

What does the 't' represent in real-life exponential models?

• The rate of growth or decay.

• The time period over which growth or decay occurs.

• The starting amount.

• The total amount.

How do you convert a percentage rate to a decimal in an exponential model?

• By adding 1 to the percentage.

• By dividing by 100.

• By multiplying by 100.

• By subtracting the percentage from 100.

What indicates an exponential growth in a real-life scenario?

• A base of 0.9 in the equation.

• A base greater than 1 in the equation.

• A negative exponent.

• A constant rate of decrease.

In the context of exponential decay, what does a base of 0.82 indicate?

• An 18% decrease each year.

• An 82% increase each year.

• An 18% increase each year.

• An 82% retention of value each year.

How do you determine the expected number of bison in 1915 given their exponential growth rate?

• By applying the growth rate to the initial number over the number of years.

• By subtracting the growth rate from the initial number.

• By dividing the initial number by the growth rate.

• By multiplying the initial number by the growth rate.