Exponential Functions and Equations: Mid Unit Assessment

A bacteria population is growing exponentially with a growth factor of 1/6 each hour. By what growth factor does the population change each half hour? Select all that apply.

Let the function P represent the population P(d), in thousands, of a colony of insects dd days after first being measured. A model for P is P(d)=10⋅(1.08)^d. Select all the statements that are true about this situation.

• There were 1,080 insects when the colony was first counted.

• The growth factor per day is 1.08.

• The growth factor per hour is 1.08^1/24

• 
  The growth factor per week is 1.08⋅7.

Scientists measure a bacteria population and find that it is 10,000. Five days later, they find that the population has doubled. Which function ff could describe the bacteria population dd days after the scientists first measured it, assuming it grows exponentially?

A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years. How much of the sample will remain after 6 years?

• 0.75 mg

• 0.5 mg

A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years. Find a function f which models the amount of radium f(t), in mg, remaining after t years.

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The graph shows the amount of a medicine mm, in milligrams, remaining in a patient's body hh hours after receiving an injection. The amount of the medicine decreases exponentially. By what factor did the medicine decrease in the first half hour? 

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The graph shows the amount of a medicine mm, in milligrams, remaining in a patient's body hh hours after receiving an injection. The amount of the medicine decreases exponentially. By what factor did the medicine decrease in the first hour? 

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The graph shows the amount of a medicine mm, in milligrams, remaining in a patient's body hh hours after receiving an injection. The amount of the medicine decreases exponentially. By what factor did the medicine decrease in the first hour and a half? 

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The area, in square meters, of a pond covered by an algae bloom decreases exponentially after a treatment is applied. If the area decreases from 150 to 75 over two days, the area covered by algae 4 days after the treatment is __________?

• 0

• 1

• 2

• 3