Question 1127380
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The cost of the bus is a fixed $450.<br>
For x students, the cost of each ticket will be {{{33-0.5x}}}; the total cost of the tickets for the x students will be {{{x(33-0.5x)}}}.<br>
We want the cost per student to be $33 or less.  Instead of solving an inequality, we can solve an equation to find the number of students that will make the cost per student equal to $33.<br>
{{{(450+x(33-0.5x))/x = 33}}}
{{{450+33x-0.5x^2 = 33x}}}
{{{450-0.5x^2 = 0}}}
{{{0.5x^2 = 450}}}
{{{x^2 = 900}}}
{{{x = 30}}}<br>
ANSWER: The cost per student will be $33 if the number of students is 30; it will be less than $33 if the number of students is greater than 30.