The state fair is coming to town! Nalia has saved up $12 to spend at the fair on games and rides. Games cost $2 each and rides cost $3 each. Nalia uses the expression 2x + 3y to determine the total cost for x games and y rides. Select one of the following combinations of games and rides that Nalia can afford with her $12 budget.
A. 0 games, 6 rides
B. 4 games, 1 ride
C. 5 games, 1 ride
D. 1 game, 4 rides
To determine if Nalia can afford a certain combination of games and rides, we plug in the values into the expression 2x + 3y and see if the result is equal to or less than $12.
A. 0 games, 6 rides: 2(0) + 3(6) = 0 + 18 = $18 (Can't afford)
B. 4 games, 1 ride: 2(4) + 3(1) = 8 + 3 = $11 (Can afford)
C. 5 games, 1 ride: 2(5) + 3(1) = 10 + 3 = $13 (Can't afford)
D. 1 game, 4 rides: 2(1) + 3(4) = 2 + 12 = $14 (Can't afford)
Therefore, Nalia can afford combination B. 4 games, 1 ride.