Semester Exam Review Part 5

Flashcard
•
Mathematics
•
12th Grade
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula to calculate the future population given an initial population and a constant growth rate?
Back
The future population can be calculated using the formula: \( P = P_0 (1 + r)^t \) where \( P_0 \) is the initial population, \( r \) is the growth rate (as a decimal), and \( t \) is the number of years.
2.
FLASHCARD QUESTION
Front
What is the Vertical Line Test and how is it used to determine if a relation is a function?
Back
The Vertical Line Test states that if a vertical line intersects a graph at more than one point, then the graph does not represent a function. A function must have only one output for each input.
3.
FLASHCARD QUESTION
Front
How do you solve a system of linear equations using substitution?
Back
To solve using substitution, solve one equation for one variable, then substitute that expression into the other equation to find the value of the second variable.
4.
FLASHCARD QUESTION
Front
What is the definition of a function in mathematics?
Back
A function is a relation that assigns exactly one output for each input from its domain.
5.
FLASHCARD QUESTION
Front
What is the significance of the growth rate in population studies?
Back
The growth rate indicates how quickly a population is increasing or decreasing, which is crucial for planning resources and services.
6.
FLASHCARD QUESTION
Front
How do you convert a percentage increase to a decimal for calculations?
Back
To convert a percentage increase to a decimal, divide the percentage by 100. For example, an 8% increase becomes 0.08.
7.
FLASHCARD QUESTION
Front
What is the general form of a linear equation?
Back
The general form of a linear equation is \( Ax + By = C \), where A, B, and C are constants.
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