Midpoint Formula. 2) If the midpoint between (-6,8) and a second point is (-1, 3), find the second point.

Transcription

1 Midpoint Formula 1) Find midpoint the line segment formed by (-1,-2) and (5,6): 2) If the midpoint between (-6,8) and a second point is (-1, 3), find the second point. 3) If the midpoint between (10,-3) and a second point is (-3,-2), find the second point. 1

2 4) Find the missing variables if the midpoint for (a, 7) and (-5, b) is (-9,2) 5) Find the missing variables if the midpoint for (8,c) and (d, -4) is (-3,-6) 6) Find the missing variables if the midpoint for (e, -10) and (-3, f) is (1,-4) 2

3 Percent Change Part I: Percent Change = New - Old = % Old 100 Find the percent change in each example: 1) 24 to 40 2) 240 to 256 3) 44 to 33 4) 33 to 44 3

4 5) The price on a box of pencils changed from $5.00 to $3.00. What was the percent change in the price? 6) The price for a pair of sneakers went from $90 to $88. What was the percent change in the price? 7) The enrollment at SFP has changed from 2,400 students to 2750 students. What is the percent change in enrollment? 8) Attendance at Yankee Stadium went from 2.9 million in 2002 to 3.4 million in What was the percent change in attendance? 4

5 9) Ralph s salary changed from $7.50/hour to $8.25/hour. What was the percent increase in salary? 10) Billy just received a raise of $2.25/hour. His old salary was $9.00/hour. What was the percent increase in salary? 11) Donna just received a raise of $2.80/hour to raise her salary to $16.80/hour. What was her percent increase in salary? 5

6 12) Sarah s boss promised her a 20% raise. Her current salary is $8.50/hour. What will her new salary be? 13) Maryanne just received a 30% raise which raised her salary to $15.60/hour. What was her original salary? 14) Tracy just received a 12% raise that changed her salary to $13.44/hour. What was his original salary? 6

7 14) A pair of shoes is marked 30% off the regular price. If the original price is $120, what will the final price be after 7% sales tax? 15) A sweatshirt is marked 25% off the regular price. If the original price is $44, what will the final price be after 6.5% sales tax? 16) A DVD player is marked 15% off the regular price. If the original price is $195, what will the final price be after 8% sales tax? 7

8 17) A suit is marked 35% off the regular price. If the original price is $485, what will the final price be after 7.5% sales tax? 18) A CD is marked 20% off the regular price. If the original price is $15, what will the final price be after 9.5% sales tax? 19) I just paid $ for a TV that was marked 35% off. If sales tax was 6%, what was the original price of the TV? 8

9 20) You just paid $48.83 for a coat that was marked 25% off. If sales tax was 8.5%, what was the original price of the coat? 21) Billy just paid $ for a computer that was marked 45% off. If sales tax was 9.5%, what was the original price of the computer? 22) Sleepy just paid $29.96 for a sweater that was marked 20% off. If sales tax was 7%, what was the original price of the sweater? 9

10 23) Fred just paid $29.84 for a DVD that was marked 15% off. If sales tax was 8%, what was the original price of the DVD? 24) Wilma wants to buy a new pair of jeans. At one store they are marked $36 and they are on sale for 15% off. At the store down the block, they are marked $42 and are on sale for 25% off. Where should she buy the jeans? 25) Barney wants to buy a new TV. At one store it is marked $450 and it is on sale for 25% off. At the store down the block, it is marked $520 and is on sale for 30% off. Where should he buy the TV? 10

11 26) Betty wants to buy a new pair of shoes. At one store they are marked $110 and they are on sale for 25% off. At the store down the block, they are marked $95 and are on sale for 15% off. Where should she buy the shoes? 27) Pebbles wants to buy a new cell phone. At one store it is marked $90 and it is on sale for 30% off. At the store down the block, it is marked $80 and are on sale for 25% off. Where should she buy the phone? 28) A pair of sneakers is marked 30% off the regular price. If the original price is $95, what will the final price be after 7% sales tax? 11

12 29) A stereo is on sale for 45% off and there is 5% sales tax. If the original price is $445, what will the final price be? 30) I just paid $ for a TV that was marked 25% off. If sales tax was 6.5%, what was the original price of the TV? 31) Aaron bought a computer at sale price of $546 including an 8.5% sales tax and a 30% discount. What was the original price of the computer? 12

13 32) Patrick has $55 and wants to buy a Notre Dame jersey that is 20% off. He doesn t know if he has enough money. The jersey cost $65 and there is 9% sales tax. Does Patrick have enough money? 33) Doug paid $ a new suit. It was on sale for 20% off and then there is 5% sales tax. What was the original price of the suit? 34) Andrea wants to buy a new pair of jeans. At one store they are marked $45 and they are on sale for 15% off. At the store down the block, they are marked $52 and are on sale for 25% off. Where should she buy the jeans? 13

14 Relative Error Relative Error = Measured - Actual OR Observed - Accepted Actual Accepted 1) A sandbox in the park has a length of 16 feet and a width of 9.5 feet. Bobby measured the sandbox and came up with a length of 16.9 feet and 10.1 feet. a) Find the actual area of the sandbox. b) Find the area based on Bobby s measurements. c) What is the relative error based on Bobby s measurements? 2) Student calculates the mass of a sample to be 5.65 g. Actual mass of the sample is 7.75 g. Determine the relative error. 14

15 3) The actual perimeter of a rectangular basketball court is 288 feet. I measured the length to be 99 feet and the width to be feet. What is my relative error in terms of measuring the area? 4) Student calculates the mass of a sample to be 12.3 g. Actual mass of the sample is 10.9 g. Determine the relative error. 15

16 5) The actual area of a rectangular sandbox is ft 2. I measured the length to be 13 feet and the width to be 9.5 feet. What is my relative error? 6) The perimeter of a rectangular pool is 128 meters. If Sal measured the length of the pool to be 47.3 meters and the width to be 20.1 meters, what is his relative error (to the nearest ten thousandth) in finding the perimeter? 16

17 7) The volume of a rectangular box is 288cm 3. If Sally measured the length, width, and height to be 11.8 cm, 3.7cm, and 5.8 cm respectively, what is Sally s relative error (to the nearest thousandth) in finding the volume? 8) A box used for shipping packages has a length of 24 inches, a width of 10 inches, and a height of 5 inches. Billy s measured the box to have a length of 23 inches, and width of 8 inches, and a height of 4.5 inches. Find the relative error of Billy s measurements in relation to the box s volume. 17