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The expression for the income of an amusement park is given, where x is the entry price: 96. - 4c? Aside from free entry, what entry price will result in no income? O S4 0 $12 0 $24 O $96​

The Expression For The Income Of An Amusement Park Is Given Where X Is The Entry Price 96 4c Aside From Free Entry What Entry Price Will Result In No Income O S class=

Sagot :

MrRoyal

The income of the amusement park is a function of the price of the ticket

The entry price that will result in no income is $24

How to determine the entry price that results in no income

The expression for the income is given as:

[tex]96x - 4x^2[/tex]

When the income is 0, we have the following equation

[tex]96x - 4x^2 = 0[/tex]

Factor out 4x

[tex]4x(24 - x) = 0[/tex]

Split the equation

4x = 0 or 24 - x = 0

Solve for x

x = 0 or x = 24

This means that, the entry price that will result in no income is $24

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