Exponential Function Word problems Part 2
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•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
An exponential function is a mathematical function of the form f(t) = a * b^t, where 'a' is a constant, 'b' is the base (a positive real number), and 't' is the exponent, representing time or another variable.
2.
FLASHCARD QUESTION
Front
How do you calculate the remaining amount of a substance after a percentage decrease?
Back
To calculate the remaining amount after a percentage decrease, use the formula: Remaining Amount = Initial Amount * (1 - Percentage Decrease) ^ t, where 't' is the time period.
3.
FLASHCARD QUESTION
Front
What does a growth rate of 4% per year mean in terms of population?
Back
A growth rate of 4% per year means that the population increases by 4% of its current size each year.
4.
FLASHCARD QUESTION
Front
How do you determine the time it takes for a value to decrease to a certain amount with a fixed percentage decrease?
Back
To determine the time, use the formula: t = log(final amount / initial amount) / log(1 - percentage decrease).
5.
FLASHCARD QUESTION
Front
What is the doubling time in exponential growth?
Back
The doubling time is the period it takes for a quantity to double in size, which can be estimated using the rule of 70: Doubling Time (in years) = 70 / growth rate (in %).
6.
FLASHCARD QUESTION
Front
If a population grows at 25% per month, how do you calculate the population after several months?
Back
Use the formula: Future Population = Initial Population * (1 + growth rate) ^ number of months.
7.
FLASHCARD QUESTION
Front
What is the formula for exponential decay?
Back
The formula for exponential decay is: N(t) = N0 * e^(-kt), where N0 is the initial quantity, k is the decay constant, and t is time.
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