2. Susan decides to open a math tutoring center. She found a nice office that she can lease for $400 per month. Susan is going to charge $25 per hour for her tutoring service. She is examining her monthly budget. a) Write an equation using function notation to model Susan's monthly income as a function of the number of hours (x) she spends tutoring in one month. b) What is the slope of the function and what does it mean in the context of this problem? c) What are the dependent and independent variables? d) What is the x-intercept and what does it mean in the context of this problem? e) What is the y-intercept and what does it mean in the context of this problem? f) What is the domain of the function in the context of this problem? (please write your answer in proper notation) g) What is the range of the function in the context of this problem? (please write your answer in proper notation)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Susan decides to open a math tutoring center. She found a nice office
that she can lease for $400 per month. Susan is going to charge $25 per
hour for her tutoring service. She is examining her monthly budget.
a) Write an equation using function notation to model Susan's monthly
income as a function of the number of hours (x) she spends tutoring
in one month.
b) What is the slope of the function and what does it mean in the
context of this problem?
c) What are the dependent and independent variables?
d) What is the x-intercept and what does it mean in the context of this
problem?
What is the y-intercept and what does it mean in the context of this
problem?
f) What is the domain of the function in the context of this problem?
(please write your answer in proper notation)
What is the range of the function in the context of this problem?
(please write your answer in proper notation)
g)
Transcribed Image Text:2. Susan decides to open a math tutoring center. She found a nice office that she can lease for $400 per month. Susan is going to charge $25 per hour for her tutoring service. She is examining her monthly budget. a) Write an equation using function notation to model Susan's monthly income as a function of the number of hours (x) she spends tutoring in one month. b) What is the slope of the function and what does it mean in the context of this problem? c) What are the dependent and independent variables? d) What is the x-intercept and what does it mean in the context of this problem? What is the y-intercept and what does it mean in the context of this problem? f) What is the domain of the function in the context of this problem? (please write your answer in proper notation) What is the range of the function in the context of this problem? (please write your answer in proper notation) g)
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