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Quiz de Proporcionalidad Directa e Inversa

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Quiz de Proporcionalidad Directa e Inversa

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10 preguntas sobre proporcionalidad directa e inversa

Created by

César Eduardo Arteaga Ríos
César Eduardo Arteaga Ríos
Mexico

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Quiz de Proporcionalidad Directa e Inversa
 

Quiz de Proporcionalidad Directa e InversaOnline version

10 preguntas sobre proporcionalidad directa e inversa

by César Eduardo Arteaga Ríos
1

Si y es directamente proporcional a x y = kx. Si x=4 y=20, ¿cuál es k?

2

En una proporción directa, si x aumenta en 2 veces, ¿qué pasa con y si y = kx?

3

Una relación inversa y = c/x. Si x=6 y=4, c=24. ¿Qué es y si x=3?

4

Una receta requiere 3 tazas de harina para 5 comensales. Si se mantiene la proporción directa para más comensales, ¿cuánta harina para 8 comensales?

5

Si y es directamente proporcional a x con y = 2x. ¿Qué y cuando x=7?

6

Si y es inversamente proporcional a x y = k/x. Si x = 9 y = 3, k=27. ¿Qué y para x = 27?

7

Una máquina tarda 6 horas en completar un trabajo. Si la velocidad se duplica, ¿cuánto tarda?

8

Dos cantidades están en proporción directa: A=10 cuando B=5. ¿Qué es B si A=40?

9

En una proporción inversa, si x pasa de 3 a 9, ¿qué pasa con y si y=c/x?

10

Si y es directamente proporcional a x con k=0.5, y = 0.5x. ¿Qué es y cuando x=12?

Explicación

k = y/x = 20/4 = 5.

Al duplicar x, y también se duplica en una relación directa.

y = c/x = 24/3 = 8.

Harina ∝ comensales; 3*(8/5)=4.8.

y = 2x → y=2*7=14.

y = 27/27 = 1.

Tiempo ∝ 1/velocidad; al duplicar velocidad, tarda la mitad.

A = kB; k = A/B = 10/5 = 2; B = A/k = 40/2 = 20.

Al triplicar x, y se reduce a una tercera.

y = 0.5×12 = 6.

 
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