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. 5 games, 1 ride
B. 0 games, 6 rides
C. 1 game, 4 rides
D. 4 games, 1 ride
To check which combinations Nalia can afford with her $12 budget, we need to substitute the values into the expression 2x + 3y and see if the result is equal to 12.
A. 5 games, 1 ride:
2(5) + 3(1) = 10 + 3 = 13 (which is greater than 12)
B. 0 games, 6 rides:
2(0) + 3(6) = 0 + 18 = 18 (which is greater than 12)
C. 1 game, 4 rides:
2(1) + 3(4) = 2 + 12 = 14 (which is greater than 12)
D. 4 games, 1 ride:
2(4) + 3(1) = 8 + 3 = 11 (which is less than 12)
Therefore, the only combination Nalia can afford with her $12 budget is D. 4 games, 1 ride.