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perrys city has lots of hills and one - way streets, which make riding …

Question

perrys city has lots of hills and one - way streets, which make riding his bike difficult. luckily, the city posts the grade of each road on a traffic website. roads with a positive grade go uphill and roads with a negative grade go downhill.

roadgrade (%)
birch leaf circle-15
north oak way5
beechwood avenue-8

which road is the steepest?
butterfly lane
birch leaf circle
north oak way
beechwood avenue

Explanation:

Step1: Recall steepness of grade

Steepness of a road's grade is determined by the absolute value of the grade percentage. The larger the absolute value, the steeper the road.

Step2: Calculate absolute values

  • For Butterfly Lane: $|10| = 10$
  • For Birch Leaf Circle: $|-15| = 15$
  • For North Oak Way: $|5| = 5$
  • For Beechwood Avenue: $|-8| = 8$

Step3: Compare absolute values

15 (from Birch Leaf Circle) is larger than 10, 5, and 8. So Birch Leaf Circle has the largest absolute grade value, meaning it is the steepest.

Answer:

Birch Leaf Circle