Question

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?

Answer 1

C

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
`\$0.75\cdot 200`

The total sum the students and the guest pay is

`\$0.75\cdot 200+\$1.25x`

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

`\$0.75\cdot 200+\$1.25x\ge 250`

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?