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Montano1993 [528]
3 years ago
5

One airline ticket costs $412. for each additional airline ticket sold to a group, the price of all the tickets is reduced by $4

. Write a quadratic function that gives the initial cost of buying x tickets.
Mathematics
1 answer:
Shkiper50 [21]3 years ago
6 0

Answer:

f(x)=104x-x^2

Step-by-step explanation:

Let

x = number of tickets sold.

example, 2 tickets cost 2 · 408 = $816

3 tickets cost 3 · 404 = $738.

The cost of buying x tickets= the number of tickets sold × the price of each ticket.

If x tickets are sold, then the price of each ticket is 412-4(x-1)

Then the quadratic function that gives the total cost of buying x tickets is given by

Cost =quantity sold*price

=412-4(x-1)*x

=(412-4x+4)*x

=412x-4x^2+4x

=416x-4x^2

Divide through by 4

=104x-x^2

Therefore, the required quadratic function is

f(x)=104x-x^2

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Step-by-step explanation:

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3 years ago
Expand »
Stolb23 [73]
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