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The original price of a skateboard was reduced by [tex]$15. The new price is $[/tex]49.

If [tex]\rho[/tex] is the skateboard's original price in dollars, which mathematical sentence expresses the information above?

A. [tex]15+\rho=49[/tex]

B. [tex]15=\rho=49[/tex]

C. [tex]49-p=15[/tex]

D. [tex]p-15=49[/tex]

Sagot :

GinnyAnsweridn
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]
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