Find the Rate of Change for Each Situation

Name

Class

Date

Chapter 5

Extra Practice

Lesson 5-1

Find the slope of each line.

1. / / 2. / / 3. /

Find the rate of change for each situation.

4.growingfrom1.4mto1.6minoneyear

5.bicycling3miin15minand7miin55min

6.growing22.4mmin14s

7.reading8pagesin9minand22pagesin30min

8.Thecostoffourmovieticketsis$30andthecostofseventicketsis$52.50.

9.Fivesecondsafterjumpingoutoftheplane,askydiveris10,000ftabovethe ground. After 30 seconds, the sky diver is 3750 ft above the ground.

10.Findtheslopeofthelinethatincludesthepoints(1,4)and(–3,–2).

Lesson 5-2

Tell whether each equation is a direct variation. If it is, find the constant of variation.

11.y = 2x – 212. 4y =x13.

Graph the direct variation that includes the given point. Write the equation of the line.

14.(5, 4)15. (7, 7)16. (–3, –10)17. (4, –8)

Prentice Hall Algebra 1 • Extra Practice

Name

Class

Date

Chapter 5

Extra Practice(continued)

Write a direct variation to model each situation. Then answer the question.

18.After30minutes,acarmovingataconstantspeedhastraveled25miles.Movingatthe same speed, how far will it travel in 140 minutes?

19.Whatistheperimeterofasquarewithsidelength13.4inches?

Lesson 5-3

Find the slope and y-intercept.

20.y = 6x + 821. 3x + 4y =–2422. 2y = 8

23. 24. 2y= 3x –125. 4x – 5y = 2

A line passes through the given points. Write an equation for the line in slope-intercept form.

26. (–2,4)and(3,9)27. (1,6)and(9,–4)28. (0,–7)and(–1,0)

29. (7,0)and(3,–4)30. (0,0)and(–7,1)31. (10,0)and(0,7)

Graph each equation.

32. y = 2x – 333. y = x – 4

Write an equation in slope-intercept form for each situation.

34.Askateboardrampis5fthighand12ftlongfromendtoend.

35.Anairplanewithnofuelweighs2575lbs.Eachgallonofgasolineaddedto the fuel tanks weighs 6 lbs.

Lessons 5-4 and 5-5

Write an equation in point-slope form for the line through the given point with the given slope.

36.(4,6);m =–537. (3,–1);m =138. (8,5);m =

Prentice Hall Algebra 1 • Extra Practice

Name

Class

Date

Chapter 5

Extra Practice(continued)

Find the x- and y-intercepts for each equation.

39. y =–7x40. y = x +341. –2y =5x–12

Graph each equation.

42. x +4y =843. y–5 = –2(x +1)44. x +3 = 0

45. 4x–3y =1246. y =–147. y +1 = – (x +2)

Write an equation in point-slope form for each situation.

48.Atraintravelsatarateof70mi/h.Twohoursafterleavingthestationit is 210 miles from its destination.

49.Anescalatorhasaslopeof.Aftertravelingforward32feet,theescalatoris 24 feet above the floor.

Write an equation in standard form for each situation.

50.Juancanridehisbikeat12mi/handwalkat4mi/h.Writeanequationthat relates the amount of time he can spend riding or walking combined, to travel 20 miles.

51.Youhave$25tobuysuppliesforaclassparty.Juicecosts$3perbottleand chips cost $2 per bag. Write an equation that relates the amount of juice and chips you can buy using $25.

Lesson 5-6

Write an equation in standard form that satisfies the given conditions.

52. paralleltoy =4x +1,53. perpendiculartoy =–x–3, through (–3, 5) through (0, 0)

Prentice Hall Algebra 1 • Extra Practice

Name

Class

Date

Chapter 5

Extra Practice(continued)

54. perpendicularto3x +4y =12,55. parallelto2x–y =6,

through (7, 1)through (–6, –9)

56. paralleltothex-axisandthrough(4,–1)57. through(4,44)andparalleltothey-axis

Tell whether each statement is true or false. Explain your choice.

58.Twoairplanestravelingatthesamerateleaveanairport1hourapart.Thegraphs of the distance each plane travels will be parallel.

59.Twolineswithnegativeslopescanbeperpendicular.

Lesson 5-7

60. a. Graph the (ages, grades) data of some students in a school.

b.Draw a trend line.

c.Find the equation of the line of best fit.

61. Useacalculatortofindalineofbestfit for the data in the chart at the right. Find the value of the correlation coefficient r. Let x = 0 correspond to 1960.

Lesson 5-8

Graph each equation by translating y =|x |or y =–|x|.

62.Acartravelingatarateof50mi/hpassesarestarea30minutesafterthe beginning of the trip. Write an absolute value equation that represents the car’s distance from the rest area.

63.y =| x |+164.y =| x +2|65.y =–| x +1|

Prentice Hall Algebra 1 • Extra Practice