At a fundraiser, a family pays a fixed entrance fee. They then purcha… | Math SAT Question

Math·Algebra·Linear equations in two variables

medium

Number of food tickets	Total amount paid
10	$34.00
15	$41.50
25	$56.50

At a fundraiser, a family pays a fixed entrance fee. They then purchase food tickets, which each have the same cost. The table shows the relationship between the number of food tickets,

x

, that are purchased and the total amount paid

y

, in dollars, for both the entrance fee and the food tickets. Which equation represents the relationship between

x

and

y

y = \frac{3}{2} x + 19

y = \frac{3}{2} x - 41

y = \frac{2}{3} x + \frac{82}{3}

y = \frac{2}{3} x + \frac{38}{3}