A scientist is studying bacteria and records the number of bacteria over time. The scientist determines that the function N(t) = 300(1.30)^t models the number of bacteria, N, after t hours. Which statement correctly interprets this model? The number of bacteria is originally 30 and increases by 300% every hour. The number of bacteria is originally 300 and increases by 30% every hour. The number of bacteria is originally 300 and increases by 30 every hour. The number of bacteria is originally 30 and increases by 300 every hour.
Added by Jonathan G.
Close
Step 1
30)^{t} \) is an exponential growth function. The base number 300 represents the initial amount of bacteria. The number 1.30 represents the growth rate per hour. Show more…
Show all steps
Your feedback will help us improve your experience
Ma. Theresa Alin and 58 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Christopher S.
The number of bacteria in a culture is modeled by the function $$n(t)=500 e^{0.45 t}$$ where $t$ is measured in hours. (a) What is the initial number of bacteria? (b) What is the relative rate of growth of this bacterium population? Express your answer as a percentage. (c) How many bacteria are in the culture after 3 hours? (d) After how many hours will the number of bacteria reach $10,000 ?$
Exponential and Logarithmic Functions
Modeling with Exponential and Logarithmic Functions
These exercises use the population growth model. Bacteria Culture A culture starts with 8600 bacteria. After 1 hour the count is $10,000 .$ (a) Find a function that models the number of bacteria $n(t)$ after $t$ hours. (b) Find the number of bacteria after 2 hours. (c) After how many hours will the number of bacteria double?
Modeling with Exponential Functions
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD