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Math 20
 Pop Quiz #3 

Time for another fun graded pop quiz!

Your final exam proves to the world that you have sufficient mastery of the math topics. We do not need to measure topic mastery with quizzes.

Your turn in homework tries to keep you from falling behind in class. These quizzes can also help with that.

Most importantly, this pop quiz checks if you can use our math tools to contribute meaningfully to an open-ended real-life issue.

Belle and Ned's Excellent Road Trip

Your fun but dysfunctional relatives, Belle and Ned, have asked for your help planning a road trip that might last a week or more.

They are a bit slow and stubborn in their habits and thinking processes. Unfortunately, you must plan the trip the way they want, even if you would personally prefer to do so in another manner.

You will not be graded on which numbers you use when estimating real-life costs. You have enough time to do a little research. But focus on your process, not your precision in modeling a specific real-life situation.

Follow the steps below carefully. You paper will be graded on organization, neatness, thoroughness, and producing a meaningful result.

1. Estimate a mileage for their car, and a price of gasoline per gallon. If they drive 6 hours per day, how much will they spend on gas each day?

Belle: Six hours is plenty. I don't want my back to get sore.

Ned: You also take forever when we stop for lunch.

Belle: Milkshake or sundae? Decisions can be tricky.

2. Assign five of the nine values below to the six remaining categories of expenses: food, lodging, shopping, attractions (museums, concerts, lots full of giant dinosaur statues, etc.), and minor crises (forgot sunscreen or umbrella, shoes wear out, unplanned parking fees, additional cell phone data, expected lodging sold out, etc.).

nine cost options

Belle: We don't need to worry about child care. No kids!

Ned: Pets are almost free. Each morning I get something cute at PetFun to play with while you drive, then at night return it to the PetFun in the new town. Maybe buy a little birdseed or rodent food, that's all!

3. Draw two copies of a bar chart for the daily dollar amounts of the six expense categories.

blank bar chart

Ned: You sure you don't want to take any kids?

Belle: Nah. Your niece still barfs on twisty roads, and my sister won't let me into her gated community.

4. What percentage of the total expenses is gas? Repeat for each of the other five expense categories (food, lodging, shopping, attractions, minor crisis).

Belle: I heard there's an outdoor place that does paintball, but everyone gets an armed drone as well as the rifle.

Ned: I don't think my aim is good enough to shoot a moving drone.

Belle: Exactly.

5. Cut out the bars of the second bar chart, and tape them together end-to-end in a circle. Then place the circle over the blank circle below to make a pie chart: draw the "spokes" of the wheel where your paper circle changes bars. Label each slice of the pie with both a dollar amount and a percentage amount.

blank pie chart

Ned: Thanks again for helping us. Don't forget to budget for Scotch Guard.

Belle: You are not going to Scotch Guard the towels where we stay. Last time you almost got us arrested!

Ned: Remember the saying, "What's the difference between your buddy and your best buddy? When you're in jail, your buddy pays your bail, but your best buddy is next to you saying, 'That was great! Let's do it again!'"

6. Write a concluding paragraph. The average American vacation costs $1,150 per person and lasts 4 or 5 days. How will the road trip you plan for Belle and Ned compare? In what categories did you try to be most frugal? Where did you allow a little splurge? Why do you think Belle and Ned will be happy with their vacation?

Belle: I hope the splurge goes with shopping.

Ned: I wonder what happens if you Scotch Guard a hamster?

Belle: If you get arrested I get your half of the vacation money.