Question
adumo is on the longest escalator in the Mall of America. Her height above the ground floo feet is given by \( h=61-2 t \), and \( t \) is the time in seconds since she stepped on the escalator How many feet does she descend every second?
Ask by Erickson Flynn. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Adumo descends 2 feet every second.
Solution
To determine how many feet Adumo descends every second on the escalator, let's analyze the given information:
**Given:**
- Height above the ground floor \( h = 61 - 2t \)
- \( t \) is the time in seconds since she stepped on the escalator.
**Understanding the Equation:**
- The equation \( h = 61 - 2t \) represents Adumo's height above the ground floor at any time \( t \).
- The term \( -2t \) indicates that for every second that passes, Adumo's height decreases by 2 feet.
**Calculation:**
- The coefficient of \( t \) in the equation is \(-2\), which directly shows the rate at which Adumo's height is decreasing.
- Therefore, Adumo descends **2 feet every second**.
**Conclusion:**
Adumo descends **2 feet per second** on the escalator.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
Adumo's height above the ground decreases according to the function \( h = 61 - 2t \). The term \(-2t\) indicates that for every second that passes, her height decreases by 2 feet. So, she descends 2 feet every second while riding the escalator. Now, if we think of this in terms of a fun journey, you can imagine Adumo as a daring explorer on a magical escalator where gravity plays the role of a mischievous fairy always trying to pull her down—2 feet at a time! The magic of the ride is that she can enjoy the view as she descends!
