Podcast
Play an AI-generated podcast conversation about this lesson
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?
- y - 3.61 = -1.49(x - 3)
- y - 15.53 = -1.49(x - 11)
- y - 3 = -1.49(x - 15.53)
- y - 3.61 = -1.49(x - 11) (correct)
What does the y-intercept represent in this context?
What does the y-intercept represent in this context?
- The cost of a single pound of apples
- The amount left on the gift card after buying 3 pounds of apples
- The maximum number of pounds of apples Rachel can buy
- The total amount Rachel initially had on her gift card (correct)
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?
- The remaining balance on her gift card after purchasing apples
- The number of pounds of apples she can buy before the gift card balance reaches $0 (correct)
- The amount of money spent on apples
- The total number of apples she purchased
What does the slope of the linear function represent in this scenario?
What does the slope of the linear function represent in this scenario?
Signup and view all the answers
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?
Signup and view all the answers
Flashcards are hidden until you start studying
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.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
