(4.2 X 10 Power of four) X (2 x 10 Power of three)
2 answers:
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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?
Answer:
Step-by-step explanation:
Given:
Charges of DJ = $200
Decoration charges = $100
Profit need to be made = $1500
Charges per student to attend the dance = $5
We need to write the equation to find the number of students for to attend the dance in order to make profit.
Solution:
Let the number of student be represented by 'n'.
Now we can say that;
Profit to be made should be equal to Charges per student to attend the dance multiplied by number of students minus sum of Charges of DJ and Decoration charges.
framing in equation form we get;
Hence the equation to find the number of students attending the dance is
Add 1 to both sides:
In cases like this, we have to remember that a root is always positive, so we can square both sides only assuming that
Under this assumption, we square both sides and we have
The solutions to this equation are
But since we can only accept solutions greater than -1, we discard and accept
.
In fact, we have
and
which is the only solution.