Question
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Two familes are taking a vacation together. They each leave at 9 a.m. on Saturday morning, driving their cars along the same route to a cabin on
  • The Jacksons Ive 40 miles closer to the cabin than the Miligans.
  • The Jacksons drive at an average speed of 50 miles per hour, and the Miligans drive at an average speed of 60 miles per hour.
    An equation can be written to represent this stuation for each family relating the time, , they drive and the distance, , they are from the cabin.
    Decide if each statement is true or false.
    The equation for the Jacksons is and the equation for the Chases is . True False
    The cars will reach the same point in 4 hours.
    It the cabin is 400 mies away, it will take the Jacksons 7 hours and 12 minutes to get there.
    The two cars will reach the same point at noon.

Ask by Johnson Spencer. in the United States
Jan 24,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

  1. False
  2. True
  3. True
  4. False

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Extra Insights

Let’s break it down! For the Jacksons, since they live 40 miles closer to the cabin than the Miligans, their starting distance would be miles (assuming the cabin is 400 miles away). Their equation should represent time and distance as . For the Miligans, their equation would be . So the statements about the cars may need some reevaluation — true or false?
For the time to reach the cabin, if the Jacksons have 360 miles to go at 50 mph, they would take hours, which translates to 7 hours and 12 minutes. Meanwhile, the Miligans, with 400 miles to cover at 60 mph, would take hours, or approximately 6 hours and 40 minutes. Time to strategize their car snacks!

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