1 / 20

Solving Real-World Problems with Numbers: Applications in Work, Distance, and Rates

This comprehensive guide explores practical applications of numbers through problem-solving involving work rates, distance, and speed. It includes examples such as determining how quickly two individuals can complete a task together, analyzing the speed of vehicles, and understanding pump efficiency. The text covers essential concepts, calculations, and methods for finding solutions using fractions, rates, and time. Suitable for students and anyone looking to strengthen their understanding of mathematical applications in everyday scenarios.

ayame
Télécharger la présentation

Solving Real-World Problems with Numbers: Applications in Work, Distance, and Rates

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 5.6 – Applications Problems about Numbers If one more than three times a number is divided by the number, the result is four thirds. Find the number. LCD = 3x

  2. Time to sort one batch (hours) Fraction of the job completed in one hour 5.6 – Applications Ryan Mike Together Problems about Work Mike and Ryan work at a recycling plant. Ryan can sort a batch of recyclables in 2 hours and Mike can sort a batch in 3 hours. If they work together, how fast can they sort one batch? 2 3 x

  3. Time to sort one batch (hours) Fraction of the job completed in one hour 5.6 – Applications Ryan Mike Together Problems about Work 2 3 x LCD = 6x hrs.

  4. Time to mow one acre (hours) Fraction of the job completed in one hour 5.6 – Applications James Andy Together James and Andy mow lawns. It takes James 2 hours to mow an acre while it takes Andy 8 hours. How long will it take them to mow one acre if they work together? 2 8 x

  5. Time to mow one acre (hours) Fraction of the job completed in one hour 5.6 – Applications James Andy Together 2 8 x LCD: 8x hrs.

  6. Time to pump one basement (hours) Fraction of the job completed in one hour 5.6 – Applications 1st pump 2nd pump Together A sump pump can pump water out of a basement in twelve hours. If a second pump is added, the job would only take six and two-thirds hours. How long would it take the second pump to do the job alone? 12 x

  7. Time to pump one basement (hours) Fraction of the job completed in one hour 5.6 – Applications 1st pump 2nd pump Together 12 x

  8. 5.6 – Applications 60x LCD: hrs.

  9. 5.6 – Applications Distance, Rate and Time Problems If you drive at a constant speed of 65 miles per hour and you travel for 2 hours, how far did you drive?

  10. 5.6 – Applications A car travels six hundred miles in the same time a motorcycle travels four hundred and fifty miles. If the car’s speed is fifteen miles per hour faster than the motorcycle’s, find the speed of both vehicles. x t 450 mi t x + 15 600 mi

  11. 5.6 – Applications x t 450 mi t x + 15 600 mi LCD: x(x + 15) x(x + 15) x(x + 15)

  12. 5.6 – Applications x(x + 15) x(x + 15) Motorcycle Car

  13. 5.6 – Applications A boat can travel twenty-two miles upstream in the same amount of time it can travel forty-two miles downstream. The speed of the current is five miles per hour. What is the speed of the boat in still water? boat speed = x t x - 5 22 mi t x + 5 42 mi

  14. 5.6 – Applications boat speed = x t x - 5 22 mi t x + 5 42 mi LCD: (x – 5)(x + 5) (x – 5)(x + 5) (x – 5)(x + 5)

  15. 5.6 – Applications (x – 5)(x + 5) (x – 5)(x + 5) Boat Speed

  16. 5.7 – Division of Polynomials Review of Long Division

  17. 5.7 – Division of Polynomials Long Division

  18. 5.7 – Division of Polynomials Long Division

  19. 5.7 – Division of Polynomials Long Division

More Related