Answer :
We begin by finding Niall's hourly wage. He earns \[tex]$34 for every 2 hours of work, so his hourly rate is
$[/tex][tex]$\frac{34}{2} = 17\text{ dollars per hour.}$[/tex][tex]$
If we let $[/tex]x[tex]$ represent the number of hours he paints, then the total amount he earns from painting is
$[/tex][tex]$17x.$[/tex][tex]$
Since he owes \$[/tex]187 to his cousin, after paying off his debt, the amount of money he will have is given by
[tex]$$y = 17x - 187.$$[/tex]
Thus, the correct equation is option D:
[tex]$$y = 17x - 187.$$[/tex]
$[/tex][tex]$\frac{34}{2} = 17\text{ dollars per hour.}$[/tex][tex]$
If we let $[/tex]x[tex]$ represent the number of hours he paints, then the total amount he earns from painting is
$[/tex][tex]$17x.$[/tex][tex]$
Since he owes \$[/tex]187 to his cousin, after paying off his debt, the amount of money he will have is given by
[tex]$$y = 17x - 187.$$[/tex]
Thus, the correct equation is option D:
[tex]$$y = 17x - 187.$$[/tex]