QUESTION IMAGE
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.
| road | grade (%) |
|---|---|
| birch leaf circle | -15 |
| north oak way | 5 |
| beechwood avenue | -8 |
which road is the steepest?
butterfly lane
birch leaf circle
north oak way
beechwood avenue
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.
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Birch Leaf Circle