
Understanding Composition of Functions and Bacteria Growth

Interactive Video
•
Mathematics, Biology, Science
•
9th - 12th Grade
•
Hard

Ethan Morris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial function that describes the number of bacteria in the food product?
n(T) = 5T + 1.3
n(T) = 364T + 47.32
n(T) = 25T^2 - 78T + 4
n(T) = 700T^2 - 26T - 50.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the temperature of the food related to time after removal from the refrigerator?
T(t) = 5t + 1.3
T(t) = 25t^2 - 78t + 4
T(t) = 364t + 47.32
T(t) = 700t^2 - 26t - 50.8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the composition function n(T(t))?
Distribute constants
Combine like terms
Replace T with 5t + 1.3 in the function n
Solve the quadratic equation
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of simplifying the expression 5t + 1.3 squared?
5t^2 + 1.3t + 1.69
25t^2 + 13t + 1.69
5t^2 + 13t + 1.3
25t^2 + 10t + 1.3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final form of the function n as a function of time t?
n(t) = 364t + 47.32
n(t) = 25t^2 - 78t + 4
n(t) = 700t^2 - 26t - 50.8
n(t) = 5t + 1.3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What equation do we solve to find the time when the bacteria count reaches 6,000?
364t + 47.32 = 6000
700t^2 - 26t - 50.8 = 6000
25t^2 - 78t + 4 = 6000
5t + 1.3 = 6000
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which method is used to solve the equation for the time when the bacteria count reaches 6,000?
Elimination method
Graphical method
Substitution method
Quadratic formula
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