Answer:
The maximum size of car payment he can afford is;
[tex]\text{ \$260 per month}[/tex]Explanation:
Given that Oliver makes $54,000 per year.
His monthly income will be;
[tex]\begin{gathered} \frac{\text{ \$54,000}}{12} \\ =\text{ \$4,500} \end{gathered}[/tex]Also, it was stated that;
debt payments (other than mortgages) should be less than 8% of a consumer's monthly gross income.
8% of Oliver's monthly income will be;
[tex]\begin{gathered} 8\text{\% of \$4,500} \\ =\frac{8}{100}\times\text{ \$4,500} \\ =\text{ \$360} \end{gathered}[/tex]So, Oliver cannot pay more than $360 of debt per month.
Removing the $100 student-loan payment every month.
We have;
[tex]\begin{gathered} \text{ \$360 - \$100} \\ =\text{ \$260} \end{gathered}[/tex]Therefore, the maximum size of car payment he can afford is;
[tex]\text{ \$260 per month}[/tex]