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Slope, m, is equal to the ratio between the change in y and the change in x

Given:

m ≤ 3/4 (green line in the attached illustration)

Δx = 0.83 ft

Δy represents the height of each step (red lines in the attached illustration)

The height of each step should be

Since the whole staircase measures 9 ft high,

9 ÷ 0.6225 = 14.45

There should be

*This seems illogical because how can you have a 0.45 step, right?

Since the problems says that the slope CANNOT exceed 3/4 (it did not say that the slope is EQUAL to 3/4), we may change the slope of the line such that we will get an integer for the number of steps.

I worked backwards and found out that using

9 ÷0.6 = 15

Given:

m ≤ 3/4 (green line in the attached illustration)

Δx = 0.83 ft

Δy represents the height of each step (red lines in the attached illustration)

The height of each step should be

*0.6225 ft*.Since the whole staircase measures 9 ft high,

9 ÷ 0.6225 = 14.45

There should be

*14.45* steps*in the staircase.*This seems illogical because how can you have a 0.45 step, right?

Since the problems says that the slope CANNOT exceed 3/4 (it did not say that the slope is EQUAL to 3/4), we may change the slope of the line such that we will get an integer for the number of steps.

I worked backwards and found out that using

*m=60/83*(which is less than 3/4, and thus satisfies the given condition) will give a better result:**The height of each step will be****0.6 ft****.**9 ÷0.6 = 15

**So, there will be a total of****15 steps****in the staircase.**