Question 1
1a. To find the total cost of Connor's movie ticket including the 15% amusement tax, we first calculate the tax amount by multiplying the ticket price \( t \) by 0.15. We then add that tax amount to the original ticket price. Therefore, the expression in terms of \( t \) that represents his total cost is:
Response: \( t + (t \times 0.15) \)
1b. If Connor's movie ticket costs $12.60, we can substitute \( t = 12.60 \) into the total cost expression from part a:
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Calculate the tax: \[ \text{Tax} = 12.60 \times 0.15 = 1.89 \]
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Add the tax to the original ticket price: \[ \text{Total Cost} = 12.60 + 1.89 = 14.49 \]
Thus, Connor's total cost of his movie ticket including the amusement tax is $14.49.
Response: Connor's total cost of his movie ticket including the amusement tax is $14.49.