Problem
On a set of steps, the first step from the base of the steps is labeled 111, the second is labeled 222, and so on. Each step has the same height. The table below shows the step number and step's height from the base of the steps.
Step number Height from the base (meters)
505050 101010
909090 181818
110110110 222222
Write an equation to describe the relationship between nnn, the step number, and hhh, the height from the base.
Answers
Given : On a set of steps, the first step from the base of the steps is labeled 1 , , the second is labeled 2 and so on.
Each step has the same height
The table below shows the step number and step's height from the base of the steps.
Steps Height
50 10
90 18
110 22
To Find : an equation to describe the relationship between n the step number, and h , the height from the base.
Solution:
Steps n Height h
50 10
90 18
110 22
Slope = (18 - 10)/(90 - 50)
= 8/40
= 1/5
h - 10 = (1/5)(n - 50)
=> 5h - 50 = n - 50
=> 5h = n
=> h = n/5
h = n/5 or 5h = n
is the relationship between n the step number, and h , the height from the base.
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Answer:
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Step-by-step explanation:
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