Driving Home Problem

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  • Are we home yet?
  • No, we are 11 km from home because we have been driving for 10 minutes. We would be 8 km away from home if we have been driving for 15 minutes.
  • By: Myia Jeter
  • I used the linear equation d=-0.6t+17. d=the distance from home. -0.6=the rate we are traveling. t=the number of minutes we have been driving. 17= starting point which was 17 km away from home.
  • How did you figure that out?
  • In 20 minutes we would be 2 km from home, because d=-0.6(20)+17. I replaced t with 20. Next I did -0.6x20=-12. Then -12+17=5 to find out we would be 5 km from home.
  • Well, it feels like we have been driving for 20 minutes.
  • So in 25 minutes we will be 2 km from home because you replace t with 25, in the equation d=-0.6t+17.
  • Correct, now we are 7 km from home. How long have we been driving?
  • To solve this, I would replace d (distance from home) with 7 and try to get the variable t (minutes driven) by itself. How do I do that?
  • First cancel out 17. 7-17=-0.6t+17-17 Next divide by -0.6. -10/-0.6=-0.6t/-0.6. The answer is 16.67 minutes. In 16.67 minutes we will be 7 km away.
  • I think it will take us 30 minutes to get home. But when I did the equation, the answer was -1. What does that mean?
  • d=-0.6(30)+17
  • -1 means we would already be home. And just like you predicted, it took 30 minutes for us to get home.
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