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Steve repairs elevators. When he is called to a job he uses the stairwell to go to the floor on which the elevator is located. In the Modis building,he climbs 22 steps for every 15 feet of horizontal travel.In the sears tower,he climbs 17 steps for every 7 feet of horozontal travel.

Part B: What is the rate of change for each stairwell.

Part B:Which stairwell will be easier to climb?Explain reasoning

Respuesta :

tchrseercalf

Answer:

Step-by-step explanation:

In Modis Building;

He climbs 22 steps for every 15 feet of horizontal travel.

The rate of change here = 22 ÷ 15 = [tex]1\frac{7}{15}[/tex] steps per foot of horizontal travel.

In the Sears Tower;

He climbs 17 steps for every 7 feet of horizontal travel.

The rate of change here = 17 ÷ 7 = 2[tex]\frac{3}{7}[/tex] steps per foot of horizontal travel

PART B:

The stairwell in the Sears Tower is easier to climb because one covers smaller distances for every step

It is easier to climb the stairwell of Sears tower.

Given to us,

For Modis building,

22 steps for every 15 feet of vertical travel

For Sears tower,

17 steps for every 7 feet of vertical travel.

Part A: The rate of change for each stairwell.

Rate of change for each stairwell of Modis building,

[tex]\rm{Rate\ of\ change\ for\ Modis\ building=\dfrac{Vertical\ distance\ traveled}{Number\ of stairs\ climbed}[/tex][tex]\rm{Rate\ of\ change\ for\ Modis\ building=\dfrac{15\ feet}{22\ steps}[/tex]

[tex]\rm{Rate\ of\ change\ for\ Modis\ building=0.682\ feet/step[/tex]

Rate of change for each stairwell of Sears tower,

[tex]\rm{Rate\ of\ change\ for\ Sears\ tower =\dfrac{Vertical\ distance\ traveled}{Number\ of stairs\ climbed}[/tex][tex]\rm{Rate\ of\ change\ for\ Sears\ tower =\dfrac{7\ feet}{17\ steps}[/tex]

[tex]\rm{Rate\ of\ change\ for\ Sears\ tower =0.412\ feet/step[/tex]

Part B: The stairwell is easier to climb,

As we can see the rate of change for each stairwell of Sears tower is less than the rate of change for each stairwell of Modis building, therefore it will take less effort to climb the steps of Sears tower.

Hence, it is easier to climb the stairwell of Sears tower.

Learn more about the rate of change:

https://brainly.com/question/8223651

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