PDF to Word Conver 1 Paraphrasing Tool Mat D laser hair rem

PDF to Word Conver: 1 . Paraphrasing Tool Mat D laser hair removal Apple citation e: Quiz Me: 3.2-6 Use linear equations to model data Question 2 of 2 This Question: 1 pt This Test: 2 pts A new car worth S30,000 is depreciating in value by $6000 per year. The mathematical model, which describes the car\'s value, y, in dollars, after x years, is y6000x+30,000. a. Sketch the graph of the equation. b. Find the missing coordinate for the ordered pair solution (3,?). c. Interpret the point from part (b). d. Find and interpret the y-intercept. e. What does the x-intercept represent in this problem? a. Choose the correct graph below. OA. OB. Oc. OD. 35000 3500 35000 35000- 10 10 0 10 10

Solution

a. The correct graph of the equation, y = - 6000x + 30000 is B. When x = 0, y = 30000 and when y = 0, - 6000x + 30000 = 0 so that x = 5. The graph B is the only one passing through the two points ( 0, 30000) and (5, 0).

b. Let the ordered pair be ( 3, t) . Then substituting these values of x and y in the equation of the line, we have t = - 6000(3) + 30000 = - 18000 + 30000 = 12000. Thus, the missing coordinate for the ordered pair solution (3, ? ) is (3,12000)

c. The point ( 3, 12000) lies on the line when x = 3 and represents the value of the car after 3 years.(B)

d. When x = 0, y = 30000 . The y -intercept is 30000. It represents the original value of the car.(A)

e.When y = 0. we have - 6000x + 30000 = 0 so that x = 5 . The x intercept is 5. It represents the fact that the value of the car would be 0 after 5 years i.e. the point when the car would have no value( C).