Answer: The required new price of the movie ticket is $9.2.
Step-by-step explanation: Given that the cost of a movie ticket increased by 15% and the old price was $8.
We are to find the new price of the ticket.
Let $x represents the new price of the movie ticket.
Then, according to the given information, we have
[tex]x\\\\=8+15\%\times 8\\\\\\=8+\dfrac{15}{100}\times 8\\\\=8+1.2\\\\=9.2.[/tex]
Thus, the required new price of the movie ticket is $9.2.