Question

A group of friends wants to go to the museum park but they have no more than $275 to spend on parking and admission parking is $10 in tickets cost $25 per person including tax write and solve inequality which can be used to determine X the number of people who can do the amusement park

Answer 1

Step-by-step explanation:

The total cost for the group to go to the park is:

`y=10+25x`

Where x is the number of people that go.

If the group has $275 to spend, we want to figure out y ≤ 275.

The inequality to solve is:

`\begin{gathered} y\le275 \\ 10+25x\le275 \end{gathered}`

Solving for x:

`\begin{gathered} 25x\le275-10 \\ 25x\le265 \\ x\le(265)/(25) \\ x\le10.6 \end{gathered}`

Since the number of people is a whole number, the maximum number of people that can go to the amusement park is 10.

Answers:

• Inequality: ,10 + 25x ≤ 275

,

• x ≤ 10