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Answer :
Niall owes \[tex]$187 initially. We are told that he is paid every 2 hours he paints and that his payment is \$[/tex]34 per 2 hours. This means his hourly wage is
[tex]$$
\frac{34}{2} = 17 \text{ dollars per hour}.
$$[/tex]
Letting [tex]$x$[/tex] be the number of hours he spends painting, his earnings from painting will be
[tex]$$
17x.
$$[/tex]
After paying back his cousin, his net money is calculated by subtracting his debt from his earnings. Therefore, the equation modeling the situation is:
[tex]$$
y = 17x - 187.
$$[/tex]
So, the correct answer is option D.
[tex]$$
\frac{34}{2} = 17 \text{ dollars per hour}.
$$[/tex]
Letting [tex]$x$[/tex] be the number of hours he spends painting, his earnings from painting will be
[tex]$$
17x.
$$[/tex]
After paying back his cousin, his net money is calculated by subtracting his debt from his earnings. Therefore, the equation modeling the situation is:
[tex]$$
y = 17x - 187.
$$[/tex]
So, the correct answer is option D.
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