To solve the given problem, follow these steps:
1. Let [tex]\( p \)[/tex] be the original price of the skateboard.
2. According to the problem, the original price was reduced by [tex]$15, and the new price is $[/tex]49. We can translate this statement into a mathematical equation.
3. Since we start from the original price [tex]\( p \)[/tex] and reduce it by [tex]$15, we write:
\[
p - 15
\]
This has resulted in the new price, which is $[/tex]49. Therefore, we set the above expression equal to $49:
[tex]\[
p - 15 = 49
\][/tex]
4. Hence, the mathematical sentence that expresses the information given in the problem is:
[tex]\[
p - 15 = 49
\][/tex]
By examining the provided options, the correct one is:
D. [tex]\( p - 15 = 49 \)[/tex]
