Question

Need help real quick,I have been on this question for so long

Answer 1

Given the expression that models the tip amount for a total bill of $102:

`0.25\mleft(102-x\mright)`

You know that "x" represents the dollar amount of the tax.

You also know that Mr. Jaxon tips $23.50.

Therefore, knowing all that information, you can set up the following equation to represent that situation:

`23.50=0.25\mleft(102-x\mright)`

Now you have to solve for "x" in order to find its value:

`\begin{gathered} 23.50=(0.25)(102)-(0.25)(x) \\ \\ 23.50=25.5-0.25x \end{gathered}`
`\begin{gathered} 23.50-25.5=-0.25x \\ \\ -2=-0.25x \end{gathered}`
`\begin{gathered} (-2)/(-0.25)=x \\ \\ x=8 \end{gathered}`

Hence, the answer is:

`\text{ \$}8`