HOMEWORK A:

* * *THIS IS MY PROJECT HERE: Information on Current Car and Hybrid Car In reference to MPG Buddy (2024), the 2021 BMW M550i xDrive (current vehicle) has a highway mileage of 25 miles per gallon, while the 2021 Toyota Prius (hybrid vehicle) has a highway mileage of 50 miles per gallon. Miles and Gallons of Gas Required for Current and Hybrid Vehicles Current Vehicle: 2021 BMW M550i xDrive Miles Gallons of Gas Required 20 20 x1 = 0.80 gallons 25 40 40 x 1 = 1.60 gallons 25 60 60 x 1 = 2.40 gallons 25 80 80 x 1 = 3.20 gallons 25 100 100 x 1 = 4.00 gallons 25 Hybrid Vehicle: 2021 Toyota Prius Miles Gallons of Gas Required 20 20 x 1 - = 0.40 gallons 50 40 40 x 1 = 0.80 gallons 50 60 60 x 1 -= 1.20 gallons 5080x1 - = 1.60 gallons 50 Variables for graphing In the case of fuel consumption, the relationship between gallons of gas required and miles is grounded on the fundamental principles of cause and effect. This means that as the number of miles covered during a trip increases, the amount of gas required to travel more miles increases. Therefore, the independent variable is miles, while the dependent variable is gallons of gas required. Dependent variable: Gallons of gas required (y-axis) Independent Variable: Miles (x-axis) Current Vehicle: 2021 BMW M550i xDrive GAS CONSUMPTION FOR CURRENT AND HYBRID VEHICLES 45 B 4 '535 o g 3 %2.5 a2 215 & 1 5{}.5 0 Miles 20 40 60 80 100 Miles =aCurrent Vehicle #Hybrid Vehicle Equation determination y=mx+b Calculating the slope (m); _Y2 N X3 = %4 The slope of the current car's line: _4-080 oon m=100-20 The slope of the hybrid car's line: _2-040 m=100-20 The y-intercept of both lines from the graph The y-intercept for both lines is 0 since when both the current car and the hybrid car are at 0 miles, no gas is required for either vehicle. Equation of current car's line: y=0.04x+0 Equation of hybrid car's line: y=0.02x+0 Gallons of gas required for a 225-mile trip: Current vehicle: y=0.04X225+0 y = 9 gallons of gas Hybrid vehicle: y=0.02X225+4+0 y = 4.5 gallons of gas The cost of gasoline for a 225-mile trip: According to AAA (2024), the cost of gasoline in Florida is $3.413 per gallon. Current vehicle: Cost = 9 gallons X $3.413/gallon = $30.72 Hybrid vehicle: Cost = 4.5 gallons X $3.413/gallon = $15.36 Cost difference: Cost gifference = $30.72 $15.36 = $15.36 From this analysis, driving a hybrid vehicle is beneficial for the environment because it has lower consumption and, therefore, lower emissions compared to regular gasoline cars. In the context of this analysis, the hybrid car consumes significantly less gas for the same distance travelled by the current vehicle. This results in a significant reduction in greenhouse gas emissions and lower fuel usage. Instructions: 1. Go to this site, https://mpgbuddy.com/ Find your current vehicle's gas mileage. This will be in miles/gallon. Make and model of your car HiQhWay rh'ilege'of ybur present car 2. Find a hybrid car that you would be interested in purchasing and find its gas mileage (miles/gallon). Make and model of the hybrid car Hig'hway mileage of fhe hybrid car 3. Create tables comparing the miles versus the gallons of gas required for 20, 40, 60, 80, and 100 miles for both vehicles. Clearly label each table with units and show all work step by step below the tables. Distance (miles) | Gallons Required (gallons) 60 200 | (80 267 0 (100 [333 @] 1. For 20 miles: Gallons Required = 20 miles / 30 miles/gallon = 0.67 gallons For 40 miles: Gallons Required = 40 miles / 30 miles/gallon = 1.33 gallons . For 60 miles: Gallons Required = 60 miles / 30 miles/gallon = 2.00 gallons . For 80 miles: Gallons Required = 80 miles / 30 miles/gallon = 3.67 gallons . For 100 miles: Gallons Required = 100 miles / 30 miles/gallon = 3.33 gallons Distance (miles) | Gallons Required (gallons) (60 J120 0| (80 160 | 100 . For 20 miles: Gallons Required = 20 miles / 50 miles/gallon = 0.40 gallons For 40 miles: Gallons Required = 40 miles / 50 miles/gallon = 0.80 gallons . For 60 miles: Gallons Required = 60 miles / 50 miles/gallon = 1.20 gallons . For 80 miles: Gallons Required = 80 miles / 50 miles/gallon = 1.60 gallons . For 100 miles: Gallons Required = 100 miles / 50 miles/gallon = 2.00 gallons . You are now going to graph both lines as you did in Project 1. Take a moment to review what you have learned about dependent and independent variables. What will be your dependent and independent variable, and why? Graph both lines on the same graph. Label the axes clearly with units and plot all points with a line drawn through. You may do a hand-drawn graph (it must be neat, and you need to use a ruler) or use a program like Excel but follow the directions. Dependent variable and axis Independent variable and axis Explain: In this scenario, the amount of fuel (gallons required) depends on the distance driven. Therefore, distance is the independent variable (x-axis), and the gallons required is the dependent variable (y-axis). Insert your graph here Toyoya Camry 2020 Vs Prius 2020 [m] T = =) o e [+ 2] [ o | ! - 60 M N (V) Gallons Required Toyota Camry 2020 Gallons Required Toyota Prius 2020 5. Next, you are going to determine the equation of each line using the formula y = mx + b, so you need to find m (the slope) and b (the y- intercept). Use the slope formula m = (y2-y1)/(x2-X1). It is best to use the endpoints. Show your calculations. Slope of current car's line with work: Using the endpoints (20, 0.67) and (100, 3.33): m=3.33-0.67 / 100-20 m=2.66 / 80 m =0.03325 Slope of the hybrid car's line with work: Using the endpoints (20, 0.40) and (100, 2.00): m=2.00-0.40/ 100-20 m=1.60/80 m =0.02 The y-intercept (b) is the value of y when x = 0. Since our data does not provide this directly, we will use one of the points and the slope to find it. For the Current Car's Line Using the point (20, 0.67) and the slope m = 0.03325 y=mx+b 0.67=0.03325*20+b 0.67=0.665+Db b =0.67 - 0.665 b = 0.005 For the Hybrid Car's Line Using the point (20, 0.40) and the slope m 0.02: y=mx+b 040=0.02x20+b 0.40=0.40+b b=0.40-0.40 b=0 y=0.03325x+0.005 y=0.02x . a. From the equations of the lines, determine how many gallons of gas you would need for a 225-mile trip. Show your calculations clearly. Current car: Equation: y = 0.033257+0.005 For x = 225: y = 0.03325 x 225 +0.005 y = 7.48125+0.005 y = 7.48625 So, for a 225-mile trip, the Toyota Camry requires approximately 7.49 gallons of gas (rounded to the nearest hundredth). Hybrid car: Equation: y = 0.02x For x = 225 y = 0.02 x 225 y = 4.50 So, for a 225-mile trip, the Toyota Prius requires 4.50 gallons of gas. What is the difference between the two? Difference in Fuel Consumption To find the difference in the number of gallons required between the two vehicles: Difference Gallons for Camry - Gallons for Prius Difference 7.49 gallons - 4.50 gallons Difference 2.99 gallons Summary Current Car (Toyota Camry 2020)= 7.49 gallons for 225 miles Hybrid Car (Toyota Prius 2020)= 4.50 gallons for 225 miles Difference= 2.99 gallons Thus, for a 225-mile trip, the Toyota Camry would require 2.99 more gallons of gas compared to the Toyota Prius. 7. Determine the cost of gasoline in your state at the AAA website: What is the cost of gasoline for a 225-mile trip with your current vehicle and the hybrid vehicle? Show all calculations. Based on the information provided, here are the calculations for the cost of gasoline for both the current and hybrid vehicles. Current vehicle: Gasoline Costs for a 225-Mile Trip Current Vehicle: 2020 Toyota Camry Highway Mileage: 30 miles per gallon Gallons needed for 225 miles:Gallons = 225 miles / 30 miles/gallon = 7.5 gallons Average gas price (as of June 5, 2024): $3.50 per gallon (AAA Gas Prices) Total cost for 225 miles: Total Cost = 7.5 gallons x $3.50 per gallon = $26.25 Hybrid vehicle: Hybrid Vehicle: 2020 Toyota Prius Highway Mileage: 50 miles per gallon Gallons needed for 225 miles: Gallons = 225 miles / 50 miles/gallon = 4.5 gallons Average gas price (as of June 5, 2024): $3.50 per gallon (AAA Gas Prices) Total cost for 225 miles: Total Cost = 4.5 gallons x $3.50 per gallon = $15.75 Difference Difference in cost between the current vehicle and the hybrid vehicle: Difference = $26.25 - $15.75 = $10.50 Do you think that driving a hybrid car is actually helping the environment? Why or why not? Due to their higher energy efficiency, less carbon footprint, and decreased fuel consumption, hybrid cars like the Toyota Prius are better for the environment. Compared to traditional cars, they consume less gasoline, which lowers their emissions per mile travelled. Furthermore, regenerative braking systems, which recover energy lost while braking and replenish the battery, are frequently seen in hybrid cars. Hybrid cars are a good option for environmental sustainability even though their initial manufacture has certain environmental costs. These costs are eventually compensated by the cars' reduced emissions