Podcast Beta
Questions and Answers
What is the slope of the line that passes through the points (0, -2) and (3, 4)?
If the cost of candy is $3 for every ounce, what is the rate of change represented by the slope?
Using the points (-4, -4) and (8, 4), what is the calculated slope of the line?
If the slope indicates that a candle burns down at a rate of 2/3 inches for every 12 minutes, how many inches does it burn down in 10 minutes?
Signup and view all the answers
What is the overall implication when a slope of 3 is derived from a graph that depicts cost per ounce of candy?
Signup and view all the answers
Study Notes
Slope Calculation for Lines
- Slope represents the rate of change in a line graph, calculated using the formula m = (y2 - y1) / (x2 - x1).
- For a line through points (0, -2) and (3, 4):
- y2 = 4 and y1 = -2
- x2 = 3 and x1 = 0
- Calculation yields a slope of m = (4 - (-2)) / (3 - 0) = 6 / 3 = 2.
Cost of Candy as a Function
- The graph illustrates the cost of candy per ounce, with several potential rates:
- 3,3, 3,0.38, 2.66,and2.66, and 2.66,and0.50 per ounce.
- Slope provides insight into the price increase relative to weight.
Candle Burning Rate
- The graph tracks candle height (y) against time in minutes (x).
- Selected points (-4, -4) and (8, 4):
- y2 = 4 and y1 = -4
- x2 = 8 and x1 = -4
- Slope calculation: m = (4 - (-4)) / (8 - (-4)) results in m = 8 / 12 = 2 / 3.
- Equivalent to a burning rate of 1 inch every 10 minutes, indicating the time taken for height reduction.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Related Documents
Description
This quiz covers the calculation of slope using various examples, including a line graph, cost of candy, and the burning rate of a candle. Participants will learn how to apply the slope formula to different scenarios. Test your understanding of linear relationships and their graphical representation!
