Respuesta :
Answer:
candle burns down 1 cm per hour
Step-by-step explanation:
Slope is rate of change. It describes how the dependent variable, y, changes as the independent variable, x, increases.
A slope of -1 means that for every increase by 1 on the x-axis, the y values decreases by 1.
In this situation, our variables would be candle height and time; time would be independent, so it would be the x variable. Candle height would be dependent, so it would be the y variable.
This means that for every hour increase in time, the candle's height decreases by 1 cm.
Every hour increase in time, the candle's height decreases by 1 cm.
What is rate of change of slope?
The rate of change of slope is defined as the dependent variable y, is described as changing when the independent variable x, increases.
Given data as :
The slope of the graph is –1
Let the set , t = time
h = height of candle
h = (-1.t) + b from t to t₁
h₁ = (-1.t) + b
h₂ = [-1.(t+1) ] + b
So, h₁ - h₂ = -1.t + b - (t+1) - b
h₁ - h₂ = -t + (t+1)
h₁ - h₂ = 1 cm
So h₂ - h₁ = -1 cm
Here burns down = height decrease
A slope of -1 indicates that the y values decrease by 1 for each increment of 1 on the x-axis.
Our variables in this scenario would be candle height and time; time would be the x variable because it would be independent. Candle height would be dependent, hence the y variable would be used.
Hence, for every hour increase in time, the candle's height decreases by 1 cm.
Learn more about rate of change here :
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