3 years ago

{(-5, -5), (3, 10), (7, 14), (3,9)} Is this relation a function

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

8 0

Answer:

ill explain

Step-by-step explanation:

graph them and see if they form the type of line youre looking for

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A movie-theater employee notes an inverse relationship between the theater's popcorn sales and its nacho sales. On a given night

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Let theater's popcorn = P

nacho sales = N

$P\text{ }\alpha\text{ }\frac{1}{N}$

Equating the relationship:

$\begin{gathered} P\text{ = k(}\frac{1}{N}) \\ P\text{ = }\frac{k}{N} \\ \text{where k = constant of proportionality} \end{gathered}$

when theater sales = $2,254

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$\begin{gathered} 2254\text{ =}\frac{k}{1628} \\ k\text{ = 2254(1628)} \\ k\text{ = 3}669512 \end{gathered}$

The relationship becomes:

$P\text{ = }\frac{3669512}{N}$

When cost of the theater popcorn = $2,024

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We would use the relationship to get the above:

$\begin{gathered} 2024\text{ = }\frac{3669512}{N} \\ 2024N\text{ = 3669512}18 \\ N\text{ = }\frac{\text{3669512}}{2024} \\ N\text{ = }1813 \end{gathered}$

Hence, the employee earned $1813 from Nachos

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