a. The two expressions in terms of t showing Conor's total cost are:
Expression 1: t + 0.15t
This expression represents the ticket cost and the amusement tax added to it.
Expression 2: 1.15t
This expression simplifies expression 1 by combining the terms.
b. Using Expression 2 with t = $11.50:
Total cost = 1.15 * 11.50 = $13.23
Conor's total cost, rounded to the nearest penny, is $13.23.
c. We can set up an equation using Expression 2 and the given total cost:
1.15t = 18.40
To solve for t, divide both sides of the equation by 1.15:
t = 18.40 / 1.15 = $16.00
The value of t to make Conor's total cost $18.40 is $16.00.