To express Conor's total cost for a movie ticket considering the 15% amusement tax, we can break it down as follows:
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Cost of the ticket before tax: This is simply \( t \) dollars.
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Amount of tax: The amusement tax is 15% of the ticket price, which can be expressed as: \[ \text{Tax} = 0.15 \times t \]
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Total cost: The total cost, including the ticket price and the tax, can be expressed as: \[ \text{Total Cost} = t + 0.15t \]
Alternatively, we can factor out \( t \): \[ \text{Total Cost} = t(1 + 0.15) = t(1.15) \]
Thus, the two expressions for Conor's total cost in terms of \( t \) are:
- \( t + 0.15t \)
- \( 1.15t \)