(03/08) 4th Pd Solving Exp/Log Word Problems Flashcard

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•
Mathematics
•
10th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an exponential growth function?
Back
An exponential growth function is a mathematical expression that describes a quantity increasing at a constant percentage rate over time, typically represented as y = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.
2.
FLASHCARD QUESTION
Front
How do you model a situation where a value increases by a percentage each year?
Back
You can model it using the formula y = a(1 + r)^t, where 'a' is the original value, 'r' is the growth rate (as a decimal), and 't' is the number of years.
3.
FLASHCARD QUESTION
Front
What is the formula for compound interest?
Back
The formula for compound interest is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, P is the principal amount (initial investment), r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the number of years.
4.
FLASHCARD QUESTION
Front
What does it mean for a value to decay?
Back
Decay refers to a decrease in value over time, often modeled by an exponential decay function, which can be expressed as y = a(1 - r)^t, where 'a' is the initial value, 'r' is the decay rate, and 't' is time.
5.
FLASHCARD QUESTION
Front
How do you determine if an equation represents growth or decay?
Back
If the base of the exponential function is greater than 1, it represents growth. If the base is between 0 and 1, it represents decay.
6.
FLASHCARD QUESTION
Front
What is the value of a $20,000 car after 3 years if it depreciates at 12% per year?
Back
The value after 3 years is approximately $13,629.44.
7.
FLASHCARD QUESTION
Front
If a computer worth $2100 decreases by 50% annually, what is its value after 2 years?
Back
The value after 2 years is $525.
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