Respuesta :

Given:

The given statement is: [tex]a[/tex] increased by [tex]b\%[/tex].

To find:

The algebraic expression for the given statement.

Solution:

We know that "+" sign is used when a value increased.

It is given that [tex]a[/tex] increased by [tex]b\%[/tex]. So, it can be written as:

[tex]a[/tex] increased by [tex]b\%[/tex][tex]=a+b\%\text{ of }a[/tex]

                                                             [tex]=a+\dfrac{b}{100}\times a[/tex]

                                                             [tex]=a+\dfrac{ab}{100}[/tex]

Therefore, the required algebraic expression is [tex]a+\dfrac{ab}{100}[/tex].