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astraxan [27]
3 years ago
11

El prestigioso hotel Los Cisnes, cobra la recepción a las delegaciones extranjeras de acuerdo con la siguiente política: Las del

egaciones con menos de 30 personas pagan $10 por persona, mientras que las delegaciones con 30 personas o más pagan una tarifa reducida de $9.50 por persona.
a) Determine el costo que pagaran las delegaciones extranjeras por la recepción en función a la cantidad de personas (1.5 puntos)
b) Trace un bosquejo de la gráfica del inciso a) (1.5 puntos)
c) Cuánto dinero ahorrará la delegación de 29 personas si pudiera incluir un miembro adicional (1 punto)
d) Halle el dominio y rango de la función costo por la recepción (1 punto)
Mathematics
1 answer:
dem82 [27]3 years ago
8 0

Answer:

"x" cantidad de personas, que será igual a

f(x) = $10x   Si   x < 30

f(x) = $9.5x si x ≥ 30

Si tenemos que son 29 personas entonces el costo es de:

f(x) = $10*29 = $290

Si incluye un miembro adicional

f(x) = $9.5*30 = $285

Ahorra un total de: $290 - $285 = $5

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<h3>1.</h3>

The equation in point-slope form:  y - y₁ = m(x - x₁)

slope:  m = -2

point:   (4, -5)   ⇒   x₁ = 4, y₁ = -5

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<h3>y + 5 = -2(x - 4)</h3>

<h3>2.</h3>

The equation in slope-intercept form:   y = mx + b

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If a line passes through the point <em>(x₁, y₁) </em>then the equation y<em>₁</em> = mx<em>₁</em> + b is true.

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Therefore the equation:  

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<h3>3.</h3>

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<h3>4. </h3>

The product of slopes of perpendicular lines is -1.

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The equation:

<h3>y = ⁷/₂x - 4</h3>
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