Question 1
1a. Connor buys a ticket to see a movie. Which expression in terms of \( t \) could be used to show his total cost?
The cost of the ticket \( t \) plus the 15% amusement tax can be expressed as:
\[ t + (t \times 0.15) \]
This is the total cost of the ticket including the tax.
Selected Response: \( t + (t \times 0.15) \)
1b. If Connor's movie ticket costs $12.60, use the expression from part a to find Connor's total cost, including the amusement tax.
We can substitute \( t = 12.60 \) into the expression:
\[ \text{Total Cost} = 12.60 + (12.60 \times 0.15) \]
First, calculate \( 12.60 \times 0.15 \):
\[ 12.60 \times 0.15 = 1.89 \]
Now, add this to the ticket price:
\[ 12.60 + 1.89 = 14.49 \]
Connor's total cost of his movie ticket including the amusement tax is $14.49.