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Real-Life Math

You're working on a new invention -- a robotic dog aimed at children 5 to 7 years old. The market is kids who can't have pets of their own because of allergies or because they live in apartments.

You need to do some mathematics to make sure everything is going as planned. This is going to involve 2 related problems -- weight and battery life.

Weight

The final product can't weigh more than 3 pounds -- the recommended toy weight for children age 5 to 7. Any heavier and kids quickly grow tired of playing with it. Since the final robot dog isn't built yet, you have to figure out the weight with some addition. The materials going into the dog are:

  • Plastic -- 1.3 pounds
  • Fake fur -- 0.4 pounds
  • Electronics and wiring -- 0.5 pounds
  • Batteries -- 0.2 pounds

Battery Life

Now that you know the weight of your pet robot dog, you can figure out how long the batteries will last. No product should require new batteries after anything less than 75 minutes of use.

Assuming each pound will drain 34 minutes of life from the battery, how long will your toy keep on wagging and barking without a slowdown?

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    ndcrn@nd.gov | (701) 328-9733

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