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a season pass to the amusement park costs $117, and daily admission costs $39. Determine the number of trips to the park for which paying daily admission is more expensive than purchasing a season pass

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Since we want to find the number of trips to the park for which paying daily admission is more expensive than purchasing a season pass​, we can express an inequality, like this:

total daily admission cost > season pass cost

The total daily admission cost, can be expressed as the number of days that this pass is purchased (n) times the daily admission cost ($39), and the season pass cost equlas $117, then we get:

$39*n > $117

From this expression we can solve for n, then we get:


\begin{gathered} 39n>117 \\ (39n)/(39)>(117)/(39) \\ n>3 \end{gathered}

Then, more than 3 daily passes would be more expensive than the season pass. Since it must be more than 3, the answer is 4 trips

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