Answer:Sometime between the third and fourth year (3.5 years)Step-by-step explanation:According to the data provided, we know the initial enrollment in the Spanish class is 555. The trend shows 33 more students will enroll each year. So, being y the time in years, the equation for the number of students in the Spanish class is
[tex]S=555+33y[/tex]As for the French class, since we lose 2 students each year the equation is
[tex]F=230-2y[/tex]We require to know the value of y in the exact moment when S=3F
[tex]555+33y=3(230-2y)[/tex]Operating
[tex]555+33y=690-6y[/tex]Reducing
[tex]39y=690-555[/tex][tex]39y=135[/tex][tex]y=135/39=3.5\ years[/tex]It means that sometime between the third and fourth year, there will be 3 times as many students taking Spanish as French