Answer:
-31.9%
Step-by-step explanation:
In this problem, the initial price of the ticket for the movie Black Panther is
[tex]p_i = \$17.99[/tex]
Later, the price of the ticket is decreased to
[tex]p_f = \$12.25[/tex]
The percent change can be written as
[tex]c=\frac{p_f-p_i}{p_i}\cdot 100[/tex]
Which is the ratio between the difference in price and the original price, multiplied by 100.
By substituting the values inside the formula, we find:
[tex]c=\frac{12.25-17.99}{17.99}\cdot 100=-31.9\%[/tex]
Where the negative sign indicates a decrease.