Exponential Equations II | Biology | Quiz

1. The exponential equation N=N₀e^kt is used by many scientists to measure growth and decay. This equation already has the variable of time (t) built into it. Why is time important?

Because environmental conditions change over time, which affects growth and decay.

Because growth and decay in a system does not happen all at once, it takes place over time.

Because growth and decay are unpredictable, scientists need a way to guess at the amount something has changed.

Because scientists can only study something if they can physically measure the start and end points in time.

2. In science, the constant variable e is BEST described as

the change that takes place at a specific point in time.

the rate of change over time.

the base rate of change in systems that are continuously changing.

the base rate of change in systems that are static.

3. The constant variable k is used in exponential equations to

modify e for specific circumstances, like changes in material or environmental conditions.

modify e for changes in the amount being measured.

modify N for specific circumstances, like changes in material or environmental conditions.

modify N for changes in the amount being measured.

4. Study the graph below. Which statement BEST describes the data being shown?

The graph shows the decay rate of a radioactive isotope.

The graph shows the decline of a population of bacteria at different temperatures.

The graph shows the growth rate of a bacteria population over time.

The graph shows the growth rate of bacteria at different temperatures.

5. The constant variable k is always a positive number.

true

false

6. There are many forms of exponential equations that scientists use. When studying a population or radioactive material, why wouldn't a scientist use y = ab^x?

Because it does not include the value N, which gives the amount.

Because it does not include the value e, which gives a base value.

Because it does not take into consideration time or the rate of growth or decay.

Because it does not include the value N₀, which gives the amount at time 0.

7. The variable constant e refers to the limit of the expression (1+1/n)ⁿ. It is considered a limit because the value of the equation reaches a constant as the values of n get larger and larger.

true

false