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shusha
7 days ago
10

Wayne and Winston are scuba diving and are ascending to the surface. The function y = 30x − 105 represents Wayne’s elevation in

feet in terms of the time in minutes he ascends. The table represents Winston’s elevation in feet in terms of the time in minutes he ascends. Assume that Wayne and Winston both ascend at a constant rate.
x

y


0

-100


3

-16



Which statements about this situation are true?
Mathematics
1 answer:
Zina [9.1K]7 days ago
7 0
To determine the slope or rate for Winston between points (0, -100) and (3, -16), you use the formula slope=(y2-y1)/(x2-x1). This results in slope=(-16-(-100))/(3-0)=(-16+100)/(3)=84/3=28/1. The slope reflects the elevation gain. The linear equation is given by y=mx+b, where m represents the slope or rate of elevation gain and b is the y-intercept or starting point. Thus, we have y=30x-105, with a rate of change of 30. Comparing rates, 30 is greater than 28, indicating Wayne ascends at a slower pace than Winston. Additionally, the initial position where x=0 serves as the starting point, with Wayne starting at -100 and Wane at -105, meaning Wane commenced from a deeper level. Consequently, the valid statements include that Wayne rises at a quicker rate and began deeper.
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6 days ago
Un ingeniero civil a cargo de una obra contrata una cierta cantidad de obreros. Estima que, si le
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Al establecer un sistema de ecuaciones lineales, se determina que el total de obreros que contrató el ingeniero civil es 50.

Para descubrir cuántos obreros fueron contratados, se debe formular un sistema de ecuaciones lineales con dos ecuaciones y dos incógnitas, de la siguiente manera:

M - 1400*x = -8000   (1)

M - 1200*x = 2000   (2)

Donde:

M: representa la incógnita correspondiente al capital del ingeniero

x: simboliza la incógnita que denota el total de obreros

De la ecuación (1) podemos deducir:

M = 1400*x - 8000   (3)

Utilizando la ecuación (3) en la ecuación (2) podríamos calcular el valor de x (número de obreros):

1400*x - 8000 - 1200*x = 2000

200*x = 10000

x = 50

El monto inicial del ingeniero, según la ec (3), sería:

M = 1400*50 - 8000 = 62000

Por lo que, el número de obreros contratados por el ingeniero es 50.

Si quieres conocer otro método para resolver sistemas de ecuaciones lineales, puedes ingresar aquí:

                                                                                         

Espero que esto te ayude!

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Answer:
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Explanation:
Let's consider the original rent as x

Given that the increase in rent is 3.7%.
Thus:
new rent = x + 3.7% of x
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With x = 1550, we find:
new rent = 1550 + 0.037(1550)
new rent = 1550 + 57.35
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I hope this clarifies!:)
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