represented in the table? How are they shown on the graph?

Transcription

1 Application. The El Pao Middle School girl baketball team i going from El Pao to San Antonio for the Tea tate championhip game. The trip will be 0 mile. Their bu travel at an average peed of 0 mile per hour. a. Suppoe the bu travel at an almot tead peed throughout the trip. Make a table and a graph of time and ditance data for the bu. b. Etimate the ditance the bu travel in hour, hour, hour, and 7. hour. c. How are hour and the ditance traveled in hour repreented in the table? How are the hown on the graph? d. How are hour and the ditance traveled in hour repreented in the table? How are the hown on the graph? e. Decribe in word a rule ou can ue to calculate the ditance traveled for an given time on thi trip. f. The bu route pae through Sierra Blanca, which i 90 mile from El Pao. About how long doe it take the bu to get to Sierra Blanca? g. The bu route alo pae through Balmorhea, which i of the wa from El Pao to San Antonio. About how long doe it take the bu to get to Balmorhea? h. How long doe it take the bu to complete it 0-mile trip to San Antonio? Invetigation Rule and Equation

2 . Celia write the equation d = 8t to repreent the ditance in mile d that biker could travel in t hour at a peed of 8 mile per hour. a. Make a table that how the ditance traveled ever half hour, up to hour, if biker ride at thi contant peed. b. How far would biker travel in hour, hour, 8. hour, and 0 hour?. The equation d = 70t repreent the ditance in mile covered after traveling at 70 mile per hour for t hour. a. Make a table that how the ditance traveled ever half hour from 0 hour to hour. b. Sketch a coordinate graph that how the ditance traveled between 0 and hour. c. What i d when t =. hour? d. What i t when d = 0 mile? e. You probabl made our graph b plotting point. In thi ituation, would it make ene to connect thee point?. a. Ue the table to write an equation that relate lunch cot L and number of rider n. Bike Tour Bo Lunch Cot Rider Lunch Cot $. $8.0 $.7 $7.00 $. $.0 $9.7 $.00 $8. b. Ue our equation to find the lunch cot for rider. c. How man rider could eat lunch for $89.? For Eercie 7, ue the equation to complete the table.. = m = 00 - k k m d =.t t d 0 0 Variable and Pattern

3 8. Sean i buing a new DVD plaer and peaker for $. The tore offer him an interet-free pament plan that allow him to pa in monthl intallment of $. a. How much will Sean till owe after one pament? After two pament? After three pament? b. Ue n to tand for the number of pament and a for the amount till owed. Write an equation for calculating a for an value of n. c. Ue our equation to make a table and a graph howing the relationhip between n and a. d. A n increae b, how doe a change? How i thi change hown in the table? How i it hown on the graph? e. How man pament will Sean have to make in all? How i thi hown in the table? How i thi hown on the graph? For Eercie 9, epre each rule a an equation. Ue ingle letter to tand for the variable. Identif what each letter repreent. 9. The area of a rectangle i it length multiplied b it width. 0. The number of hot dog needed for the picnic i two for each tudent.. The amount of material needed to make the curtain i quare ard per window.. Tai fare i $.00 plu $.0 per mile.. The ale ta in a tate i 8%. Write an equation for the amount of ta t on an item that cot p dollar.. An airplane i traveling at 0 mile per hour. Write an equation for the ditance d the plane travel in h hour.. Potatoe ell for $0. per pound at the produce market. Write an equation for the cot c of p pound of potatoe.. A cellular famil phone plan cot $9 per month plu $0.0 per minute of long-ditance ervice. Write an equation for the monthl bill b when m minute of long-ditance ervice are ued. Invetigation Rule and Equation 7

4 For Eercie 7 9, decribe the relationhip between the variable in word and with an equation For: Help with Eercie 7 Web Code: ane-7 t n z 0. Multiple Choice Which equation decribe the relationhip in the table? n 0 C A. C = 0n B. C = 0 + n C. C = 0 D. C = 0 + 0n Connection. The perimeter P of a quare i related to the ide length b the formula P =. The area, A, i related to the ide length b the formula A =, or A =. a. Make a table howing how the perimeter of a quare increae a the ide length increae from to in -unit tep. Decribe the pattern of change. b. Make a table howing how the area of a quare increae a the ide length increae from to. Decribe the pattern of change. P A For Eercie 7, find the indicated value or value.. the mean, or average, of. and 7.. the area of a circle with radiu centimeter. the um of the angle meaure in a triangle, in a parallelogram, in a pentagon, and in a heagon For: Multiple-Choice Skill Practice Web Code: ana- 8 Variable and Pattern

5 . the 0th odd number ( i the firt odd number, i the econd odd number, and o on.). the area of a triangle with a bae of 0 centimeter and a height of centimeter The wheel on Kai bike are 7 inche in diameter. Hi little iter, Maako, ha a bike with wheel that are 0 inche in diameter. Kai and Maako are on a bike ride. a. How far doe Kai go in one complete turn of hi wheel? b. How far doe Maako go in one complete turn of her wheel? c. How far doe Kai go in 00 turn of hi wheel? d. How far doe Maako go in 00 turn of her wheel? e. How man time do Kai wheel have to turn to cover 00 feet? f. How man time do Maako wheel have to turn to cover 00 feet? To cover mile? 9. Biccle that were popular in the 890 were called penn farthing biccle. Thee bike had front wheel with diameter a great a feet! Suppoe the front wheel of thee biccle have a diameter of feet. a. What i the radiu of the front wheel? b. How far will one bike travel in 00 turn of the front wheel? c. How man time will the front wheel turn in a -mile trip? d. Compare the number of time the wheel of Maako bike turn in a -mile trip [ee part (f) of Eercie 8] with the number of time the front wheel of thi penn-farthing bike turn in a -mile trip. Wh are the number related thi wa? Invetigation Rule and Equation 9

6 Write a formula for the given quantit. 0. the area A of a rectangle with length, and width w. the area A of a parallelogram with bae b and height h. the perimeter P of a rectangle with bae b and height h. the mean m of two number p and q. the area A of a circle with radiu r. the um S of the meaure of angle in a polgon of n ide. the nth odd number, O ( i the firt odd number, i the econd odd number, and o on.) 7. the area A of a triangle with bae b and height h Complete the table of value for the given equation. 8. = + 9. = Q R Decribe the relationhip between and in word Variable and Pattern

7 Etenion. a. You can calculate the average peed of a car trip if ou know the ditance and time traveled. Cop and complete the table below. Car Trip Ditance (mi) Time (hr) Average Speed (mi/h) b. Write a formula for calculating the average peed for an given ditance d and time t. For Eercie 7, olve each problem b etimating and checking.. The equation p = 0 + 0n give the admiion price p to Wild World for a group of n people. A club budget ha $00 et aide for a viit to the park. How man club member can go?. The equation b = 00 - r give the number of bonu point b left on a Wild World bonu card after r ride. a. Roi ha point left. How man ride ha he been on? b. Dwight ha point left. How man ride ha he been on?. The equation d =.t decribe the ditance in meter d covered b a canoe-racing team in t econd. How long doe it take the team to go meter? How long doe it take them to go 00 meter? 7. The equation d = 00 -.t decribe the ditance in meter d of a canoe-racing team from the finih line t econd after a race tart. When i the team 7 meter from the finih line? When i it 00 meter from the finih line? Invetigation Rule and Equation

8 8. Armen build model from rod. When he build bridge, he make the ide uing pattern of triangle like the one below. The total number of rod depend on the number of rod along the bottom. Rod along bottom = Total number of rod = Rod along bottom = Total number of rod = a. Cop and complete the table. Rod Bridge Rod Along the Bottom Total Number of Rod 7 b. Write an equation relating the total number of rod t to the number of rod along the bottom b. Eplain how the formula ou write relate to the wa Armen put the rod together. c. What do ou know about the propertie of triangle and rectangle that make the deign above better than the one below? 9. The tudent in Problem. decide to viit Wild World Amuement Park on the tour. The include the cot of thi and the van in their revenue and epene. How doe thi affect the equation for profit? Variable and Pattern