Real-World Applications: Distance, Speed, & Fuel Exercise

Real-World Applications: Distance, Speed, & Fuel

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Real-World Applications: Distance, Speed, & Fuel

Apply lines of best fit to practical scenarios involving distance, speed, and fuel usage. Analyze relationships and solve real-world problems.

Questions

  1. MultiChoice

    A driver tracks gas remaining (y gallons) vs miles driven (x). The line of best fit is y = -0.04x + 15. How many gallons were in the tank initially?

  2. MultiChoice

    In the fuel model y = -0.04x + 15, what does -0.04 mean?

  3. MultiChoice

    Using y = -0.04x + 15, how much gas remains after driving 100 miles?

  4. MultiChoice

    Using y = -0.04x + 15, after how many miles driven is the tank predicted to be completely empty (y = 0)?

  5. MultiChoice

    A road trip distance model is y = 55x + 20 (x = hours, y = miles from start). What was the starting distance?

  6. MultiChoice

    In y = 55x + 20, what is the average driving speed?

  7. MultiChoice

    Predict total distance after driving for 4 hours using y = 55x + 20.

  8. MultiChoice

    A plane descending for landing has altitude modeled by y = -800x + 30000 (x = minutes, y = feet). What is starting altitude?

  9. MultiChoice

    In the descent model y = -800x + 30000, what is the rate of descent?

  10. MultiChoice

    How many minutes until the plane lands (altitude y = 0) according to y = -800x + 30000?

  11. MultiChoice

    A marathon runner's remaining distance in miles is y = -7x + 26.2 (x = hours). What is the runner's speed?

  12. MultiChoice

    Using y = -7x + 26.2, how many miles remain after running for 2 hours?