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Math·Algebra·Linear equations in two variables

hard

Number of food tickets	Total amount paid
10	$40.00
15	$47.50
25	$62.50

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 $y$?

A

$y=\frac{3}{2}x+25$

B

$y=\frac{3}{2}x-50$

C

$y=\frac{2}{3}x+100$

D

$y=\frac{2}{3}x+50$