A group of friends wants to go to the amusement park. They have no more than $380 to spend on parking and admission. Parking is $15.50, and tickets cost $20.75 per person, including tax. Which inequality can be used to determine pp, the maximum number of people who can go to the amusement park?
Let pp be the maximum number of people who can go to the amusement park.
The total cost of parking is $15.50.
The total cost of tickets is $20.75 * pp.
The total cost of parking and tickets is $15.50 + $20.75 * pp.
According to the problem, the total cost of parking and tickets cannot exceed $380.
Therefore, the inequality that can be used to determine pp is:
15.50 + 20.75 * pp ≤ 380. Answer: \boxed{15.50 + 20.75 \cdot pp \leq 380}.
what's the answer
To find the maximum number of people who can go to the amusement park, we need to solve the inequality:
15.50 + 20.75 * pp ≤ 380.
First, we can subtract 15.50 from both sides of the inequality to isolate the 20.75 * pp term:
20.75 * pp ≤ 380 - 15.50.
Simplifying the right side gives:
20.75 * pp ≤ 364.50.
Finally, we can divide both sides of the inequality by 20.75 to solve for pp:
pp ≤ 17.563.
Since pp represents the number of people, the maximum number of people who can go to the amusement park is 17.
Therefore, the answer is pp ≤ 17.
A group of friends wants to go to the amusement park. They have no more than $380 to spend on parking and admission. Parking is $15.50, and tickets cost $20.75 per person, including tax. Which inequality can be used to determine pp, the maximum number of people who can go to the amusement park?
Answer
Multiple Choice Answers
380, is greater than or equal to, 20, point, 7, 5, p, plus, 15, point, 5380≥20.75p+15.5
380, is greater than or equal to, 20, point, 7, 5, left bracket, p, plus, 15, point, 5, right bracket380≥20.75(p+15.5)
380, is less than or equal to, 20, point, 7, 5, left bracket, p, plus, 15, point, 5, right bracket380≤20.75(p+15.5)
380, is less than or equal to, 20, point, 7, 5, p, plus, 15, point, 5380≤20.75p+15.5
The correct inequality that can be used to determine pp, the maximum number of people who can go to the amusement park, is:
380 ≤ 20.75(p+15.5)
Therefore, the answer is 380, is less than or equal to, 20, point, 7, 5, left bracket, p, plus, 15, point, 5, right bracket, or:
380 ≤ 20.75(p+15.5)
A group of friends wants to go to the amusement park. They have no more than $210 to spend on parking and admission. Parking is $5.75, and tickets cost $29.75 per person, including tax. Which inequality can be used to determine xx, the maximum number of people who can go to the amusement park?
To determine xx, the maximum number of people who can go to the amusement park, we need to set up an inequality based on the given information.
Let xx represent the number of people who can go to the amusement park.
The cost of parking is $5.75.
The cost of tickets is $29.75 per person, including tax.
The total cost of parking and tickets for xx people is therefore 5.75 + 29.75 * xx.
According to the problem, the total cost of parking and tickets cannot exceed $210.
Therefore, the inequality that can be used to determine xx is:
5.75 + 29.75 * xx ≤ 210.
Liam has a points card for a movie theater.
He receives 50 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 160 points for a free movie ticket.
Write and solve an inequality which can be used to determine xx, the number of visits Liam can make to earn his first free movie ticket.
To determine xx, the number of visits Liam can make to earn his first free movie ticket, we need to set up an inequality based on the given information.
Liam receives 50 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 160 points for a free movie ticket.
Let xx represent the number of visits Liam can make.
The total number of points Liam has after xx visits is 50 + 12.5 * xx.
According to the problem, Liam needs at least 160 points for a free movie ticket.
Therefore, the inequality that can be used to determine xx is:
50 + 12.5 * xx ≥ 160.
To solve for xx, we can subtract 50 from both sides of the inequality:
12.5 * xx ≥ 160 - 50,
12.5 * xx ≥ 110.
Finally, divide both sides of the inequality by 12.5 to solve for xx:
xx ≥ 8.8.
Since xx represents the number of visits, it must be a whole number. Therefore, Liam must make at least 9 visits to earn his first free movie ticket.