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2.1. Proporcionalidad y porcentajes

Háblame del mar...

Barco pesqueroEn el apartado 1.1. exploraste el sector marítimo-pesquero, muy importante para Galicia.

Recordamos algunos datos sobre la pesca.

  • Flota: Galicia cuenta con cerca de 4500 buques pesqueros.
  • Capturas: más de 13000 toneladas de pescado fresco.
  • Facturación: 435 millones de euros.

¿Crees que con estos datos se dan medidas de la importancia de este sector?

¿Qué es lo que estaríamos midiendo?

¿Son magnitudes?

Clasifica cada tarjeta arrastrándola:

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012345
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Magnitud

Una magnitud es una cualidad que se puede medir.

Como por ejemplo, la altura de la vela de la goleta, o el peso máximo de las capturas que se pueden realizar en un día.

Para medir una magnitud la comparamos con la unidad de medida conocida e indicamos cuántas veces está contenida la unidad en la magnitud que medimos.

La vela de la goleta mide \(1,85\) metros.

Las capturas máximas de hoy son \(120\) kilogramos.

Ahora que ya recordamos que es una magnitud, si la actividad anterior te salió regular, puedes volver a intentarla.

¿Son magnitudes directamente proporcionales?

Pregunta 1

- Litros de leche comprados y precio total

Pregunta 2

- Edad de una persona y altura de la misma

Pregunta 3

- Velocidad del tren y número de pasajeros

Pregunta 4

- Número de espectadores y cantidad recaudada

Completa las tablas de magnitudes directamente proporcionales

nº de arañas 1 3 10 12
nº de patas 24 40

nº de gafas 2 4 10
nº de cristales 2 4 40

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Magnitudes directamente proporcionales

Dos magnitudes A y B son directamente proporcionales cuando varían en la misma proporción, es decir, si al aumentar o disminuir una, la otra también aumenta o disminuye en la misma proporción.

Se cumple que \(\displaystyle \frac{A}{B}=C\).

En una tabla en la que tenemos dos magnitudes directamente proporcionales, el cociente de cada pareja de valores es constante. Este valor recibe el nombre de constante de proporcionalidad.

Captura (kg) 45 90 135 180
Días de faena 1 2 3 4

\(\displaystyle \frac{45}{1}=\frac{90}{2}=\frac{135}{3}=\frac{180}{4}=45\)

Si te parecieron complicadas las actividades anteriores, intenta volver a hacerlas.

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