Tommy originally has $14
Each game costs $0.5
1) After playing 9 games, Tommy has $9.5 dollars left.
2)Tommy will run out of money after playing 28 games.
How to analyze line equation.
Given equation
y = -1x/2 + 14 that relates Tommy money and number of games he can play at the Arcade.
y represents amount of money
x represents number of games
Tommy originally has $14( this corresponds to the constant value in the equation)
Each game costs $0.5(the slope of the line). It is negative because it affects he money negatively.
To form table, substitute each value of x into the equation
x y
0 14
1 13.5
2 13
3 12.5
4 12
1) After playing 9 games, means x = 9
y = -1/2(9) + 14
= -4.5 + 15
= $9.5
After playing 9 games, Tommy has $9.5 dollars left.
2) Number of games he can play until he runs out of money
when
y = 0
0 = -x/2 + 14
x/2 = 14
x = 2*14
= 28 games
Tommy will run out of money after playing 28 games.