Alg 1 Midterm Review Part 3
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the equation that models the value of a car that loses \( \frac{1}{5} \) of its value every year if it was bought for $15,000?
Back
The equation is \( y = 15000 \left( \frac{4}{5} \right)^x \) where \( y \) is the value of the car after \( x \) years.
2.
FLASHCARD QUESTION
Front
What is the most reasonable domain for the function \( y = 15000 \left( \frac{4}{5} \right)^x \)?
Back
The most reasonable domain is \( 0 < x < 20 \).
3.
FLASHCARD QUESTION
Front
What is the asymptote of the function \( y = 2^x - 3 \)?
Back
The asymptote is \( y = -3 \).
4.
FLASHCARD QUESTION
Front
How can you determine if a sequence is Arithmetic or Geometric?
Back
An Arithmetic sequence has a constant difference between terms, while a Geometric sequence has a constant ratio between terms.
5.
FLASHCARD QUESTION
Front
Identify the type of sequence: 7.3, 7, 6.7, 6.4, 6.1...
Back
This is an Arithmetic sequence.
6.
FLASHCARD QUESTION
Front
What is the model for the amount of a radioactive isotope that halves every year starting with 100 isotopes?
Back
The model is \( f(x) = 100 \left( \frac{1}{2} \right)^x \) where \( x \) is the number of years.
7.
FLASHCARD QUESTION
Front
What type of relationship is used in exponential decay?
Back
The type of relationship is a ratio.
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