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How do you know what 1400 and -350 mean in the context of the scenario?

How do you know what 1400 and -350 mean in the context of the scenario?. A pool is being emptied. The equation to model the remaining water (W) at time (t) is W = 1400 – 350t.

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How do you know what 1400 and -350 mean in the context of the scenario?

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  1. How do you know what 1400 and -350 mean in the context of the scenario? A pool is being emptied. The equation to model the remaining water (W) at time (t) is W = 1400 – 350t

  2. In this lesson you will learn how to interpret the rate of change and the y-intercept in context by examining each of the four representations.

  3. 2 - 1 1 1.00 – 0.50 0.50 Rate of change (slope) Initial value (y-intercept) = 0.50 = 0

  4. Suppose a car is traveling 35 miles per hour. An equation could be D = 35h, where D is distance after h hours. The car travels 35 miles for every hour that passes. What does 35 mean within the context of the scenario? The car goes 35 miles. Incorrect !

  5. W = -350T + 1400 A 1400 gallon pool is being emptied at a rate of 350 gallons per hour. 100

  6. Rate of change (slope) = Initial value (y-intercept) = 1400 -350 Meaning: The pool is losing 350 gallons of water every hour. Meaning: The pool has 1400 gallons before it begins to drain.

  7. In this lesson you have learned how to interpret the rate of change and the y-intercept in context by examining each of the four representations.

  8. Identify the slope and y-intercept in each representation. Explain the meaning of each. A car rental agency charges $30 plus $0.25 per mile for each mile driven. C = 30 + 0.25m

  9. Show an image of a restaurant price board or menu. • -Are the prices slopes or y-intercepts? • -What does each mean as it pertains to the restaurant? • -There is an unseen value for each of the prices, what is it (slope or y-intercept)? • -What does the unseen value mean as it pertains to the restaurant?

  10. Think of a situation pertaining to your life that would have a slope and y-intercept. • Share the situation, slope, y-intercept, and meaning within the situation.

  11. A restaurant charges $150 for a room and $10 per person for food and drinks. What is the slope and what does it mean in the context of the scenario? a) Total increases $10 for the room cost. b) Total increases $10 for every added person c) Total is $150 for the room cost. d) Total is $150 for every added person.

  12. A restaurant charges $150 for a room and $10 per person for food and drinks. What is the y-intercept and what does it mean in the context of the scenario? a) Total is $10 with zero people attending. b) Total increases $10 for every added person c) Total is $150 with zero people attending. d) Total is $150 for every added person.

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