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| Section | Objectives |
|---|---|
| Foundations of Algebra | - Algebraic Expressions
|
| Exponential and Logarithmic Concepts | - Exponential Functions
|
| Functions and Graphs | - Function Concepts
|
| Polynomial and Rational Expressions | - Rational Expressions
|
| Linear Functions and Systems | - Linear Equations
|
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NEW QUESTION # 15
After a water tank starts leaking, the amount of water in the tank is modeled by the exponential function that is graphed.
Which statement is justified considering the location of the horizontal asymptote?
Answer: D
Explanation:
The graph shows the water volume decreasing over time.
The vertical axis represents:
" Water volume in gallons "
The horizontal axis represents:
" Time in minutes "
The graph is an exponential decay curve. It decreases quickly at first, then levels off.
From the graph, the curve approaches a horizontal value near:
y=1,000
This means the horizontal asymptote is approximately:
y=1,000
Since the graph approaches 1,000 gallons, it will not decrease to 500 gallons according to this model.
The water volume does not change by a constant rate because exponential functions do not have constant additive change. Also, the graph decreases fastest at the beginning, not later.
NEW QUESTION # 16
The value of a painting is represented by the function
f(x)=330× # 1.04 #
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