SAT Question 1a2a0f59: Linear Functions answer and explanation with Desmos solution

Choice B is correct. It’s given that the regular price of a session at a yoga studio is $$25.40$. It's also given that the yoga studio is offering a deal where the first session is free, or $$0$; that the second session is half off the regular price, or $25.40 - \left( \frac{1}{2} \right) ( \ 25.40 ), which is equal to \$$12.70; and that the remaining sessions are at the regular price, $$25.40$. Since $x$ represents the total number of sessions and two sessions have already been accounted for, the number of remaining sessions can be represented by $x-2$. The total cost, in dollars, of purchasing $x$ sessions using this deal can be represented by the function $f(x)=0+12.70+25.40(x-2)$, or $f(x)=25.40(x-2)+12.70$.