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pogonyaev
2 years ago
8

Bea's catering charges $3 per person and a $60 clean-up fee to cater banquets. Write an equation to find the number of students

(n) that could attend the French clubs banquet if they had a budgeted $200 for catering

Mathematics
1 answer:
Dominik [7]2 years ago
4 0

Answer:

The required equation will be:

  • 200 = 3n + 60  

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

where 'm' is the slope or rate of change and 'b' is the y-intercept of the equation

  • Let 'n' represents the number of students (n).
  • Let 'c' represents the cost budget.

Given that Bea's catering charges $3 per person.

  • Thus, the slope or rate of change = m = 3 dollars per person

Given that the clean-up fee to cater banquets = $60

In other words, $60 is the initial condition or y-intercept.

  • Thus, the y-intercept b = 60

Given that the cost budget = c = $200

Thus, the equation becomes

c = mn+b

substituting c = 200, m = rate of cgange = 3, b = 60

200 = 3n + 60            ∵ comparing with y = mx+b

Thus, the required equation will be:

  • 200 = 3n + 60  
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Based on the knowledge of <em>trigonometric</em> expressions and properties of <em>trigonometric</em> functions, the value of the <em>sine</em> function is equal to - √731 / 30.

<h3>How to find the value of a trigonometric function</h3>

Herein we must make use of <em>trigonometric</em> expressions and properties of <em>trigonometric</em> functions to find the right value. According to trigonometry, both cosine and sine are <em>negative</em> in the <em>third</em> quadrant. Thus, by using the <em>fundamental trigonometric</em> expression (sin² α + cos² α = 1) and substituting all known terms we find that:

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Based on the knowledge of <em>trigonometric</em> expressions and properties of <em>trigonometric</em> functions, the value of the <em>sine</em> function is equal to - √731 / 30.

To learn more on trigonometric functions: brainly.com/question/6904750

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