HELP PLEASE You're taking a scenic road trip down CA-Highway 1 from San Jose, California, to Los Angeles. You plan to split the
drive into two days, stopping for one night. Choose one town to stop in, and find the driving distance for the second day. 1. Circle the town you chose to stop in. (1 point) Santa Barbara San Luis Obispo 2. Why did you choose this town? (1 point) 3. Define the variable. 4. What is the variable x for this problem? (1 point) Write the equation. 5. Write an equation showing that the distance traveled on the first day plus the distance traveled on the second day is equal to 425 miles. (4 points: 2 points for each side of the equation) Isolate the variable. 6. What inverse operation do you need to perform on both sides to isolate x in the equation? (2 points: 1 point for the correct number, 1 point for the correct operation) Solve the equation. 7. Solve the equation for x. Interpret the answer in terms of the problem. (2 points: 1 point for the solution, 1 point for the interpretation) Check your solution. 8. To confirm that your answer is correct, add the two days' distances. This should equal the total distance from San Jose to Los Angeles. Show your work as an equation. (3 points: 1 point for the setup, 2 points for the correct answer) 9. Your car's gas tank holds 13 gallons, and you expect to get about 25 miles per gallon on this winding road. To be sure you don't run out of gas, you never want to have less than 1 gallon in the tank. You start with a full tank of gas. Will you need to stop for gas during the first day's drive? Explain how you know, and show your work. (5 points: 3 points for calculating the distance you can go before refilling, 2 points for determining whether you need to stop) 10. You decide to visit San Diego next. You plan to start your trip around 7:00 a.m. There are two suggested routes from Los Angeles to San Diego. Route 1: Using Interstate 15, the trip is 125 miles and you should average 48 miles per hour. Route 2: Using Interstate 5, the trip is 100 miles and you should average 36 miles per hour. (Driving on Interstate 5 at 7 a.m. is no picnic!) Write and solve equations to find the amount of time each route will take. Which route is faster? How many minutes faster is that route? Round answers to the nearest hundredth. (5 points: 2 points for writing correct equations, 1 point for solving the equations, 1 point for identifying the faster route, 1 point for finding how many minutes faster that route is)
