SOLUTION: Hi, I have a question here that I don't understand, could you give me the step by step problem solving method "What is the slope of the segment shown for a staircase with 10 inch

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Question 1118608: Hi, I have a question here that I don't understand, could you give me the step by step problem solving method
"What is the slope of the segment shown for a staircase with 10 inch treads and 7.75 inch rises? As you walk up or down the stairs, your vertical distance from the floor is a linear function of your horizontal distance from the point on the floor where you started. Is the function discrete or continuous? Explain."
Thansk!
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
It's discrete.
You can't walk up 1/2 a step.
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Might also be discreet, depending on who's upstairs.

Answer by ikleyn(52781) (Show Source):
You can put this solution on YOUR website!
.

The slope is the ratio . You are given dx = 10 inches and dy = 7.75 inches. Hence, the slope is = = 0.775. The linear function behind this problem is y = m*x = 0.775*x. Each linear function is continuous.