SAT Question 1ecaa9c0: Linear Functions answer and explanation with Desmos solution

Choice A is correct. It's given that Robert was charged an initial fee of $$20.00$ to rent the truck plus an additional $$0.70$ per mile driven. Let $m$ represent the number of miles the truck was driven. Since the rental charge is $$0.70$ per mile driven, $$0.70m$ represents the amount Robert was charged for $m$ miles driven. Let $c$ equal the total amount, in dollars, Robert was charged to rent the truck. The total amount can be represented by the equation $c=20.00+0.70m$. It's given that the truck was driven $38$ miles, thus $m=38$. Substituting $38$ into the equation gives $c=20.00+0.70\times 38$. Multiplying $0.70\times 38$ gives $c=20.00+26.60$. Adding these values gives $c=46.60$, so the total amount Robert was charged is $$46.60$.