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xz_007 [3.2K]
4 years ago
12

The power line can be described by the equation shown below:

Mathematics
1 answer:
scZoUnD [109]4 years ago
3 0

Answer:

\begin{array}{cc}x&y\\ \\-2&-1\\0&-2\\2&-3\\6&-5\\9&-6.5\end{array}

Step-by-step explanation:

Given:

y=-\dfrac{1}{2}x-2

First, find y for given x:

When x = 0, then

y=-\dfrac{1}{2}\cdot 0-2\\ \\y=-2

When x = 6, then

y=-\dfrac{1}{2}\cdot 6-2\\ \\y=-3-2\\ \\y=-5

When x = 9, then

y=-\dfrac{1}{2}\cdot 9-2\\ \\y=-4.5-2\\ \\y=-6.5

Now find x for given y:

When y = -1, then

-1=-\dfrac{1}{2}x-2\\ \\-1+2=-\dfrac{1}{2}x\\ \\1=-\dfrac{1}{2}x\\ \\-2=x\\ \\x=-2

When y = -3, then

-3=-\dfrac{1}{2}x-2\\ \\-3+2=-\dfrac{1}{2}x\\ \\-1=-\dfrac{1}{2}x\\ \\2=x\\ \\x=2

So, the table is

\begin{array}{cc}x&y\\ \\-2&-1\\0&-2\\2&-3\\6&-5\\9&-6.5\end{array}

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Question is Incomplete;Complete question is given below.

Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?

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Answer:

5n - 300 = 1,500

Step-by-step explanation:

Given:

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We need to write the equation to find the number of students for to attend the dance in order to make profit.

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Let the number of student be represented by 'n'.

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