Answer:
10 weeks.
Step-by-step explanation:
Let [tex]w[/tex] equal the number of weeks.
Let's construct a linear equation that equals the total cost of the SAT prep course, demonstrates Kate has already saved $180, and represents $17 saved per week:
[tex]350=17w+180[/tex]
Let's solve:
[tex]350=17w+180[/tex]
Subtract [tex]180[/tex] from both sides of the equation.
[tex]170=17w[/tex]
Divide both sides of the equation by the coefficient of [tex]w[/tex], which is [tex]17[/tex]:
[tex]w=10[/tex]