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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?
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 does the slope of the equation represent?
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If Rachel bought 5 pounds of apples, how much would be left on her gift card using the derived model?
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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.
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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.
