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Zorluk: KolayInterpreting Linear Relationships in Context

An architect is tracking the height of a new skyscraper under construction. The total height HH, in feet, of the building ww weeks after construction of the main frames began is modeled by the equation H=120+15wH = 120 + 15w. According to the model, by how many feet does the height of the building increase each week?

Cevap: 15 feet

Cevap

The height of the building increases by 15 feet each week.
In the linear model H=120+15wH = 120 + 15w, the variable HH represents the total height of the building in feet and the variable ww represents the number of weeks since construction began. The coefficient of the variable ww, which is 1515, is the slope of the equation and represents the constant rate of change of the height per week. Therefore, the height of the building increases by 1515 feet each week.

Adım Adım Çözüm

1
Analyze the linear model equation.
The equation H=120+15wH = 120 + 15w represents the total height HH as a function of the number of weeks ww, where 1515 is the coefficient of the variable ww.
To determine what each part of the linear equation represents in the given context.
2
Interpret the coefficient of the independent variable ww.
The coefficient of ww is the slope of the linear equation, which is 1515.
The slope represents the constant rate of change, which is the weekly increase in height.

Anahtar Kavram

Interpreting the slope of a linear equation in context
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Interpreting Linear Relationships in Context

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