4.2+Using+Unit+Rate+-+2010-2011

12/5/2010  O.M  Problem 4.2  BIG IDEA- Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.   Essential Question- How can I use a unit rate to make a prediction? <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: 'Impact','sans-serif'; font-size: 12pt;">4.2- **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">A. For each car, find a unit rate describing the mileage. Which car got better gas mileage? In other word which car went more miles per gallon of gas. **<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">**<span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">ANSWER- **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt;"> 580 miles from Denver to Prichet and used 19 gallons of gas that is what madelinedrove up to. 452 miles from Denver to Monument Park and used 15 gallons of gas that is what lusi used. I think Madeline had better gas because her car can go to 30 miles per gallon and Luis's car can go till 29 miles per gallon. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">**<span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">4.2-B. Complete the table below, showing the fuel used and the miles covered by each car based on the unit rates you found in part A. **<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">


 * || <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Gallons of Gas   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">0   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">1   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">2   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">3   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">4   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">5   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">6   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">7   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">8   ||
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Miles in Madeline's car  ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">0   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">30   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">60   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">90   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">120   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">150   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">180   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">210   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">240   ||
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Miles in Luis's car  ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">0   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">29   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">58   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">87   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">116   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">145   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">174   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">203   ||  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">223   || ||

<span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">**<span style="font-family: 'Arial','sans-serif'; font-size: 12pt;"> 4.2-C.-Look at the patterns in your table. For each car write an equation for a rule you can use to predict the miles driven from the gallons of gas used. **

<span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">Madeline - m=30g Luis - m=29g <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;"> <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">**<span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">4.2-D.Use the rules you wrote in part C to find the number of miles each car could cover if it used 9.5, 15.5, 19, 23.8, 100, 125 and 150 gallons of gasoline. **

<span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">Madeline - : 9.5: 285m 15.5g: 465m 19g: 570m 23.8g: 714m 100g: 3000m 125g: 3750m 150g :4500m Luis - 9.5g: 275m 15.5g: 449m 19g: 551m 23.8g: 690.2m 100g: 2900m 125g: 3625m 150g: 4350m <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;"> <span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">4.2-FOLLOW UP- <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="font-family: 'Impact','sans-serif'; font-size: 12pt;"> <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="line-height: normal; margin: 0in 0in 10pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">