Linear vs Exponential Functions

Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
An exponential function is a function of the form y = ab^x, where a is a constant, b is the base (a positive number), and x is the exponent. It represents growth or decay.
3.
FLASHCARD QUESTION
Front
What is the difference between linear and exponential growth?
Back
Linear growth increases by a constant amount, while exponential growth increases by a constant percentage, leading to faster growth over time.
4.
FLASHCARD QUESTION
Front
What is the equation for a linear function that starts at $100 and decreases by $5 each week?
Back
y = -5x + 100
5.
FLASHCARD QUESTION
Front
What type of function is represented by Uber's pricing model of $2 plus $0.75 per mile?
Back
Linear function.
6.
FLASHCARD QUESTION
Front
What is the formula for calculating exponential growth?
Back
The formula is P(t) = P0(1 + r)^t, where P0 is the initial amount, r is the growth rate, and t is time.
7.
FLASHCARD QUESTION
Front
What does it mean if a function is exponential decay?
Back
Exponential decay occurs when a quantity decreases at a rate proportional to its current value, often represented as y = ae^(-kt).
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