Concept Questions
Problems
100
What is exponential growth?
Exponential growth occurs when a quantity increases by the same proportion in each given time period.
100
A manager notices that employee engagement levels have dropped over the past few months. Several employees have voiced concerns about the lack of professional development opportunities and insufficient recognition for their hard work. What strategies could the manager implement to improve employee engagement?
Answers may very, but they have to have a description of how the manager might improve the employee engagement.
200
What is exponential decay?
Exponential decay occurs when a quantity decreases by the same proportion in each given time period. The decay factor must be a fraction between zero and one raised to a variable exponent.
200
Determine if this function is exponential growth or decay: f(t)=1/4 x 4t
Growth
300
What is Qualitative data?
Qualitative data is descriptive information that captures observable qualities and characteristics not quantifiable by numbers.
300
Is the graph below an example of exponential growth or decay? Then write a rule for it.
Decay; y= 3(0.3)x
400
What is quantitative data?
Quantitative data is information that can be counted or measured—or, in other words, quantified—and given a numerical value.
400
A small town has a population of 10,000 people. The population grows at a rate of 4% per year. What will the population be in 5 years?
The population in 5 years will be approximately 12,167 people.
500
What is a exponential growth function?
A pattern of data that shows greater increases with passing time, creating the curve of an exponential function.
500
When businesses calculate the value of their assets, they consider depreciation. Depreciation is the decrease in the value of an object over time. Brandon runs a construction company and bought a new excavator for $60,000, which depreciates 20% per year. Write a function to model this scenario?
𝑓(𝑥)=60,000(0.8)x