Cost to Play at Mini-golf Course A
y=7/2x+6
The table shows the cost to play at Mini-golf Course A. The equation y = 4x + 5 models the cost (y) to play x games at Mini-golf Course B. Which statement is true?
A. The cost to play 2 games at each course is the same.The cost to play 2 games at each course is the same.
B. Both courses have the same cost for each game played.Both courses have the same cost for each game played.
C. Mini-golf Course B has a lower cost for each game played.Mini-golf Course
B has a lower cost for each game played.
D. It is more costly to play 1 game at Mini-golf Course B than at Mini-golf Course A.
To determine the cost of playing 2 games at each course, substitute x = 2 into the equations.
For Mini-golf Course A:
y = (7/2)(2) + 6
y = 7 + 6
y = 13
For Mini-golf Course B:
y = 4(2) + 5
y = 8 + 5
y = 13
Both calculations yield a cost of 13 for playing 2 games at each course. Therefore, statement A is true: The cost to play 2 games at each course is the same.