2.3.8 Martin wants to determine how the amount of money he has in his wallet will affect his grade in Math Modeling class. Consider the following assumptions: 1. His grade is directly proportional to the amount of time studied. 2. The amount of time studied is directly proportional to the amount of free time he has. 3. The amount of free time he has is inversely proportional to the amount of time he spends going out with his girlfriend. 4. The amount of time he spends going out with his girlfriend is directly proportional to the amount of money he has in his wallet.
Added by Colleen V.
Close
Step 1
Step 1: Let $G$ be Martin's grade, $T$ be the amount of time he studies, $F$ be the amount of free time he has, $O$ be the amount of time he spends going out with his girlfriend, and $M$ be the amount of money he has in his wallet. Show more…
Show all steps
Your feedback will help us improve your experience
Vishal Parmar and 68 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Proportionality A statement describing the relationship between the variables $x, y,$ and $z$ is given. (a) Express the statement as an equation of proportionality. (b) If $x$ is tripled and $y$ is doubled, by what factor does $z$ change? (See Example 3 .) $z$ is directly proportional to the square of $x$ and inversely proportional to the fourth power of $y .$
Fundamentals
Modeling Variation
Consider the following mathematical model, where k is the constant of proportionality: B' = k (P^2 / (LW A*sqrt(Z))) Which of the following is true? I The rate of change of B is proportional to the product of W and A. II The rate of change of B is inversely proportional to the square root of Z. III The rate of change of B is inversely proportional to the product of W and A.
Adi S.
Proportionality A statement describing the relationship between the variables $x, y,$ and $z$ is given. (a) Express the statement as an equation of proportionality. (b) If $x$ is tripled and $y$ is doubled, by what factor does $z$ change? $z$ is directly proportional to the square of $x$ and inversely proportional to the fourth power of $y .$
Lauren S.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD