The growth of a population of bacteria can be modeled by an exponential function. The graph models the population of the bacteri
1 answer:
Answer:
t ≥0
Step-by-step explanation:
Given the information:
The initial population: 500
The graph models the population of the bacteria colony P(t) as a function of the time t, in weeks,
=> our function is: P(t) =500* where b is the base number and it is ≥0
- What is the domain of the function?
The domain of exponential functions is all real numbers greater than zero
<=> t ≥0 (because t present for the time and time can not have negative value)
- What does the domain represent in this context?
t is the independent variable is this exponential function and the population of bacteria depends on the change of t.
Because it is the growth function so the range (the population of bacteria) increase over its domain (the time)
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Given:
Matthew's dad hired him to paint 6 wooden patio chairs for $125.
Time taken by him to paint all of the chairs = 9 hours.
It takes the same amount of time to paint each chair.
To find:
The fraction of an hour does it take Matthew to paint one chair
Solution:
Total time = 9 hours
Total number of chairs = 6
Now, time taken by Matthew to paint one chair is
Therefore, Mattew takes of an hour to paint one chair.
Thinking with a model: On dividing the total time by total number of chairs we get time taken by Mattew (in hours) to paint one chair. So, the result represents the fraction of an hour taken by Matthew to paint one chair.