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TAKS CAMP A.01A

TAKS CAMP A.01A. Independent and Dependent Quantities. Key Points. Independent and Dependent Quantities must be variables (letters), not constants (numbers- including π ). Independent- often quantities that cannot be controlled like time and weather

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TAKS CAMP A.01A

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  1. TAKS CAMP A.01A Independent and Dependent Quantities

  2. Key Points Independent and Dependent Quantities must be variables (letters), not constants (numbers- including π). Independent- often quantities that cannot be controlled like time and weather Dependent- change as a result of the Independent Quantities like distance and total cost 1, A.01A

  3. Independent and Dependent In an equation, x (input) represents the independent quantity and y (output) represents the dependent quantity Ex: y = 2x + 3 Independent Dependent 1, A.01A

  4. Independent and Dependent Sometimes equations have other variables, not x and y. Ex. d = 54t Dependent Independent The variable by itself is always dependent! 1, A.01A

  5. Independent and Dependent Quantities, continued… When no equation is given: A car salesman made a chart showing the relationship between the number of cars he sells and the months of the year. Now ask yourself, does the number of cars depend on the months of the year or do the months of the year depend on the number of cars? Because the number of cars will change based on the month, the number of cars is dependent, and the month is independent. 1, A.01A

  6. A fur coat salesman made a table showing the relationship between the average daily temperature and the number of coats he sells per day. Identify the independent and dependent variables in this situation. Independent _________________________ Dependent __________________________

  7. To find c, the total cost of an order of DVDs from a certain website, the equation c=19.99n + 4.99 can be used, where n represents the number of DVDs ordered. If c is a function of n, which of the following best describes this relationship? A. The value of n is constant in relation to c B. The value of n is dependent on c C. The value of c is constant in relation to n D. The value of c is dependent on n

  8. For a jogger traveling at a speed of 6 miles per hour, the relationship between the distance traveled, d, and the time traveled, t, is described by the function d = 6t. Which statement is true? A. The time traveled depends on the distance traveled B. The distance traveled depends on the time traveled C. The speed of the runner depends on the distance traveled D. The speed of the runner depends on the time traveled

  9. The cost, c, of purchasing r roses, can be found by using the equation c = 3.75 + 2.15r, where r represents the number of roses purchased. Which of the following best represents this situation? A. The value of r is constant in relation to c B. The value of c is constant in relation to r C. The value of c is dependent on r D. The value of r is dependent on c

  10. A city water employee is making a table showing the relationship between the average daily temperature and the city’s water usage. What is the independent quantity?

  11. Tessa wants to determine the relationship between the number of absences a student has and their grade point average. What is the dependent variable in this situation?

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