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Questions and Answers
Which linear equation correctly models the situation involving Rachel's gift card and the pounds of apples she buys?
Which linear equation correctly models the situation involving Rachel's gift card and the pounds of apples she buys?
What does the y-intercept represent in this context?
What does the y-intercept represent in this context?
What does the x-intercept indicate in terms of Rachel's purchasing capabilities?
What does the x-intercept indicate in terms of Rachel's purchasing capabilities?
What does the slope of the linear function represent in this scenario?
What does the slope of the linear function represent in this scenario?
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If Rachel buys 0 pounds of apples, how much money remains on her gift card?
If Rachel buys 0 pounds of apples, how much money remains on her gift card?
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Study Notes
Linear Equation for Gift Card Balance
- The 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 purchased (x) and the remaining balance on the gift card (y).
Y-Intercept Meaning
- The y-intercept is the original value of the gift card to the Arbor Day Orchard.
- This means the initial value of the gift card is the y-value when x equals 0.
X-Intercept Meaning
- The x-intercept is the maximum number of pounds of apples Rachel can purchase.
- This means the x-value when y equals 0 represents the maximum number of pounds she can purchase before running out of money on the gift card.
Slope Meaning
- The slope represents the rate at which the amount of money remaining on the gift card decreases by $1.49 for each pound of apples Rachel buys.
- This negative slope indicate that the balance on the gift card is decreasing as more apples are bought.
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Description
Explore the relationship between the pounds of apples purchased and the remaining gift card balance through linear equations. Understand the significance of the y-intercept, x-intercept, and slope in this real-world application.
