Your middle school is having a fall festival. Admission into the carnival is $3 and each game inside the carnival costs $.25. Write an inequality that represents the possible number of games that can be played having $1. What is the maximum number of games that can be played? A). 0.25x + 3 < 10; 28 games
B). 0.25x + 3 is greater than or equal to 10; 28 games
C). 0.25x - 3 < 10; 52 games
D). 0.25x- 3 is greater than or equal to 10; 52 games

 0.25x + 3 ≤ 10;  28 games

Note how we have a "less than or equal to" sign, instead of simply a "less than" sign.

Work Shown:

x = number of games

0.25x = amount spent on games only

0.25x+3 = total amount spent (games+admission)

total spent ≤ $10   since $10 is the most we have

0.25x + 3 ≤ 10 is the inequality we need to solve

0.25x ≤ 10-3   subtract 3 from both sides

0.25x ≤ 7

x ≤ 7/0.25   divide both sides by 0.25

x ≤ 28

Since x is less than or equal to 28, this means the largest x can get is 28.

We can think of this as the ceiling value so to speak.

So the maximum number of games that can be played is 28.

4400

step-by-step explanation:

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.