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jeka57 [31]
3 years ago
10

Luigi is an urban and planner. As an independent contractor, he charges a $140 fee plus $25 per hour for each contract with the

city. Write a function to represent this scenario where y represents the total amount he charges for a project and x represents the number of hours worked on the project. What was the amount he earned after 10 hours?
Mathematics
1 answer:
TEA [102]3 years ago
7 0
Amount of money charged by Luigi as fees = $140
Hourly rate of Luigi for each contract = $25
In the question there are more important information's already provided. Let us write them down first.
Total amount charged by Luigi for a project = y
Number of hours worked on the project by Luigi = x
Then the equation can be written as
y = 140 + 25x
Now
The amount earned by Luigi after 10 hours = 140 + (25 * 10) dollars
                                                                     = 140 + 250 dollars
                                                                     = 390 dollars
So the amount earned by Luigi after 10 hours is $390. I hope the procedure is clear enough for you to understand.
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Una recta con pendiente -2 ´pasa por el punto P(5, -1). La abscisa del punto Q que está en esa recta es 1. Encuentre la ordenada
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Answer:

La ordenada de Q es 7.

Step-by-step explanation:

La ecuación de una recta es:

y = a*x + b

donde a es la pendiente y b es la ordenada al origen.

Para este problema, sabemos que la pendiente es -2

Entonces:

a = -2

y = -2*x + b

También sabemos que esta recta pasa por el punto (5, -1)

Esto significa que cuando evaluamos la ecuación en x = 5, y toma el valor y = -1

Si reemplazamos esos valores en la ecuación, obtenemos:

-1 = -2*5 + b

-1 = -10 + b

-1 + 10 = b

9 = b

Entonces la ecuación de la recta es:

y = -2*x + 9

Sabemos que el punto Q está en la línea, y la abscisa de este punto es 1.

Entonces este punto es Q (1, k)

donde k es la ordenada de este punto.

Porque nuestra línea también pasa por este punto, podemos concluir que cuando x = 1, y = k

Reemplazando eso en la ecuación tenemos:

k = -2*1 + 9 = -2 + 9 = 7

k = 7

La ordenada de Q es 7.

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