Lee las situaciones y realiza lo siguiente con cada una:

Escribe las magnitudes intervienen
Escribe cuál magnitud es la variable independiente y cuál la variable dependiente
Representa la función que describe la situación

SITUACIONES:

Una máquina imprime 840 páginas cada 30 minutos.
Un ascensor tarda 6 segundos para subir dos pisos.
Una empresa alquila un auto a S/ 480 por 12 días.
10 kilogramos de papaya cuesta S/ 35.

Part 1) see the explanation

Part 2) see the explanation

Part 3) see the explanation

Part 4) see the explanation

Step-by-step explanation:

The question in English is

Read the situations and do the following with each one:

Write down the magnitudes involved

Write which magnitude is the independent variable and which is the dependent variable

It represents the function that describes the situation

SITUATIONS:

1) A machine prints 840 pages every 30 minutes.

2) An elevator takes 6 seconds to go up two floors.

3) A company rents a car at S/ 480 for 12 days.

4) 10 kilograms of papaya cost S/ 35

Part 1) we have

A machine prints 840 pages every 30 minutes

Let

x ----> the time in minutes (represent the variable independent or input value)

y ---> the number of pages that the machine print (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In this problem

we have a a proportional variation

so

The value of the constant of proportionality is equal to

we have

substitute

The linear equation is

Part 2) we have

An elevator takes 6 seconds to go up two floors.

Let

x ----> the time in seconds (represent the variable independent or input value)

y ---> the number of floors (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In this problem

we have a a proportional variation

so

The value of the constant of proportionality is equal to

we have

substitute

The linear equation is

Part 3) we have

A company rents a car at S/ 480 for 12 days.

Let

x ----> the number of days (represent the variable independent or input value)

y ---> the cost of rent a car (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In this problem

we have a a proportional variation

so

The value of the constant of proportionality is equal to

we have

substitute

The linear equation is

Part 4) we have

10 kilograms of papaya cost S/ 35

Let

x ----> the kilograms of papaya (represent the variable independent or input value)

y ---> the cost  (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In this problem

we have a a proportional variation

so

The value of the constant of proportionality is equal to

we have

substitute

The linear equation is

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers