Question 1

Question

A ticket to a movie costs t dollars, and there is a 15% amusement tax on each ticket.



1a. Connor buys a ticket to see a movie. Which expression in terms of t could be used to show his total cost?

(2 points)
Responses

t + 0.15
t + 0.15

t + (t x 0.15)
t + ( t x 0.15)

0.15 - t
0.15 - t

t ÷ 0.15
t ÷ 0.15
Question 2






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.

(3 points)

Answer 1

Question 1:

1a. To calculate the total cost of Connor's movie ticket including the 15% amusement tax, you would first find the tax amount by multiplying the ticket price \( t \) by 0.15. Then, you would add that amount to the original ticket price. The correct expression in terms of \( t \) would be:

Answer:
\( t + (t \times 0.15) \)

This can also be simplified to \( t + 0.15t \), which equals \( 1.15t \), but the expression as requested is fine in its original form.

Question 2:

1b. If Connor's movie ticket costs $12.60, we can substitute \( t = 12.60 \) into the expression from part a to find his total cost including the amusement tax:

\[ \text{Total Cost} = t + (t \times 0.15) \]

Substituting the value of \( t \):

\[ \text{Total Cost} = 12.60 + (12.60 \times 0.15) \]

Calculating the tax:

\[ 12.60 \times 0.15 = 1.89 \]

Now, add this to the original ticket price:

\[ \text{Total Cost} = 12.60 + 1.89 = 14.49 \]

Thus, Connor's total cost including the amusement tax is:

Answer:
$14.49