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Alenkasestr [34]
3 years ago
7

Subsitutey=4x-1 y=-3x-8

Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0

Answer:

x = -1

y = -5

Step-by-step explanation:

Because we have an equation for the value of y, we can do this:

4x - 1 = -3x - 8

Then we can solve for x.

4x = -3x - 7 --- add 1 to both sides

7x = -7 --- add 3x to both sides

x = -1 --- divide both sides by 7.

Now that we know the value of x, we can solve for y.

y = 4(-1) - 1 --- plug in x

y = -4 - 1 --- simplify

y = -5 --- simplify

Now we know x and y.

x = -1

y = -5

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A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $1
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Answers:

To reach the breakeven point, how many attendees will that take?  <u>   117   </u>

What will be the company's total expenses and revenues?  <u>    $1755  for each   </u>

=============================================================

Explanation:

x = number of attendees

C(x) = cost function for the company

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This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

In contrast, the revenue is

R(x) = 15x

because each attendee brings in $15 for the company

The breakeven point is when the cost and revenue are the same. This produces a profit of $0.

R(x) = C(x)

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15x-14x = 117

x = 117

If 117 people attend the seminar, then the company breaks even.

To check this, we'll compute the cost and revenue

C(x) = 14x+117

C(117) = 14*117+117

C(117) = 1755

R(x) = 15x

R(117) = 15*117

R(117) =  1755

The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.

Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

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