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ryzh [129]
2 years ago
5

Concert tickets cost $15 for general admission, but only $9 with a student ID. Ticket sales total $450. Write and graph an equat

ion that models this situation.
Equation :
x-intercept (x,y) :
y-intercept (x,y) :
Mathematics
1 answer:
aliina [53]2 years ago
7 0

The equation that models the situation is 15x + 9y = 450

The x-intercept is (30, 0) and the y-intercept is (0, 50)

Given the following parameters:

  • Cost of concert tickets for general admission= $15
  • Cost of a ticket for those with student ID = $9

Given that the total sales is $450, the equation that models this situation will be expressed as:

  • 15x + 9y = 450

where:

x is the those that admitted generally

y are those with student ID

<u />

<u>Get the x-intercept.</u>

This is a point where the y-axis is zero

15x + 9y = 450

15x + 9(0) = 450

15x = 450

x = 450/15

x = 30

Thee x-intercept is (30, 0)

<u>Get the y-intercept.</u>

This is a point where the x-axis is zero

15(0) + 9y = 450

0 + 9y = 450

9y = 450

y = 450/9

x = 50

The y-intercept is (0, 50)

Learn more on intercepts here: brainly.com/question/24212383

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Answer:

Answer in terms of a trigonometric function :

h = \frac{20tan(19.9)}{0.4-tan(19.9)}

Answer in figures

h = 190.5 feet

Step-by-step explanation:

Consider the sketch attached below to better understand the problem.

Let x be the distance between point B and the base of the water tower.

tan (19.9)=\frac{h}{50+x} ---------------equation 1\\

tan (21.8)=\frac{h}{x}----------------equation 2

From equation 2,

x =\frac{h}{tan21.8}=\frac{h}{0.4}

substituting the value of x into equation 1, we get

tan (19.9)=\frac{h}{50+(\frac{h}{0.4} )}

tan 19.9=h\times \frac{0.4}{20+h}

cross multiplying,

20\times tan(19.9) +htan(19.9)=0.4h

20tan(19.9)= h(0.4-tan(19.9))

h= \frac{20tan (19.9)}{0.4-tan (19.9)}

The height of the tower is h= \frac{20tan (19.9)}{0.4-tan (19.9)} in terms of the trig function "Tan"

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