Estudios indican que la temperatura del agua disminuye conforme aumenta la profundidad: si en la superficie la temperatura es de 28°C (grados centígrados), a 200 metros es de 15°C. Si el comportamiento es lineal, determina la ecuación de la recta que relaciona a la temperatura con la profundidad.

Answers

Answer 1

Answer:

The equation that relates temperature to depth is y = 28 - 0.065·x

Step-by-step explanation:

Los parámetros dados son;

La temperatura del agua en la superficie = 28 ° C

La temperatura del agua a 200 m por debajo de la superficie = 15 ° C

Dado que la relación es lineal, tenemos;

Sea la pendiente de la relación = m, por lo tanto;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Dónde;

x₁ = 0 m, y₁ = 28 ° C, x₂ = 200 m, y₂ = 15 ° C, tenemos;

[tex]Slope, \, m = \dfrac{15^{\circ}C-28^{\circ}C}{200 \, m-0 \, m} = \dfrac{(-13)^{\circ}C}{200 \, m} = -0.065 ^{\circ}C/m[/tex]

Por lo tanto, la ecuación en forma de pendiente puntual se convierte en;

y - 28 = -0,065 × (x - 0)

y = -0.065 · x + 28 = 28 - 0.065 · x

Por lo tanto, la ecuación que relaciona la temperatura con la profundidad es y = 28 - 0.065 · x.


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What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

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