Podcast
Questions and Answers
Which linear equation correctly models the situation where x is the number of pounds of apples bought and y is the amount left on the gift card?
Which linear equation correctly models the situation where x is the number of pounds of apples bought and y is the amount left on the gift card?
What does the y-intercept represent in the context of the gift card?
What does the y-intercept represent in the context of the gift card?
What is the meaning of the x-intercept in this situation?
What is the meaning of the x-intercept in this situation?
What does the slope of the equation represent?
What does the slope of the equation represent?
Signup and view all the answers
If Rachel bought 5 pounds of apples, how much would be left on her gift card using the derived model?
If Rachel bought 5 pounds of apples, how much would be left on her gift card using the derived model?
Signup and view all the answers
Study Notes
Linear Equation for Apple Purchases
- The correct linear equation that models the situation is y-3.61 = -1.49(x-11)
- This equation represents the relationship between the number of pounds of apples Rachel buys (x) and the amount left on her gift card (y).
Y-Intercept Meaning
- The y-intercept represents the original value of the gift card to the Arbor Day Orchard.
- In this case, the y-intercept is the amount of money on the gift card when Rachel has bought zero pounds of apples.
X-Intercept Meaning
- The x-intercept represents the maximum number of pounds of apples Rachel can purchase.
- At the x-intercept, the amount remaining on the gift card is zero, meaning Rachel has spent all of the gift card's value.
Slope Meaning
- The slope of the line (-1.49) represents the changing value of the gift card.
- For each pound of apples Rachel buys, the amount remaining on the gift card decreases by $1.49.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Related Documents
Description
This quiz explores linear equations through the context of apple purchases and gift card values. It covers key concepts like y-intercept, x-intercept, and slope, illustrating the mathematical relationships within a real-world scenario. Test your understanding of these principles and their implications in economics.
