Which situation is represented by the inequality?

(0.75)(200) + 1.25x ≥ 250.00

A) A local high school needs to purchase a park permit for $200.00 for their upcoming senior class picnic. Each student attending the picnic pays $0.75. Each guest pays $1.25. Suppose 250 students attend the picnic. What is x, the number of guests needed to cover the cost of the permit?

B) A local high school needs to purchase a park permit for $200.00 for their upcoming senior class picnic. Each student attending the picnic pays $1.25. Each guest pays $0.75. Suppose 250 students attend the picnic. What is x, the number of guests needed to cover the cost of the permit?
C) A local high school needs to purchase a park permit for $250.00 for their upcoming senior class picnic. Each student attending the picnic pays $0.75. Each guest pays $1.25. Suppose 200 students attend the picnic. What is x, the number of guests needed to cover the cost of the permit?

D) A local high school needs to purchase a park permit for $250.00 for their upcoming senior class picnic. Each student attending the picnic pays $1.25. Each guest pays $0.75. Suppose 200 students attend the picnic. What is x, the number of guests needed to cover the cost of the permit?

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frika

Answer:

C

Step-by-step explanation:

Let x be the number of guests needed to cover the cost of the permit.

Each guest pays $1.25, then x guests pay $1.25x.

200 students attend the picnic, each student attending the picnic pays $0.75, then 200 students pay [tex]\$0.75\cdot 200[/tex]

The total sum the students and the guest pay is

[tex]\$0.75\cdot 200+\$1.25x[/tex]

A local high school needs to purchase a park permit for $250.00 for their upcoming senior class picnic, then

[tex]\$0.75\cdot 200+\$1.25x\ge 250[/tex]

So, correct option is C:

A local high school needs to purchase a park permit for $250.00 for their upcoming senior class picnic. Each student attending the picnic pays $0.75. Each guest pays $1.25. Suppose 200 students attend the picnic. What is x, the number of guests needed to cover the cost of the permit?

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