Question

a party planner is reserving rooms for a corporate event and has the most $2000 to spend on renting the space.The sunrise room cost $170 per hour and the twilight room costs $240 per hour. Select the inequality in standard from that describe this situation. Use the given numbers and the following variables x=the number of hours the sunrise room is reserved.y=the number of hours the twilight room is reserved.

Answer 1

170x + 240y ≤ 2000.

Explanation:

Let, the number of hours the sunrise room is reserved = x and the number of hours the twilight room is reserved = y.

It is given that, the sunrise room costs $170 per hour and twilight room costs $240 per hour.

So, the cost of sunrise room per x hours is
`170x` dollars and the cost of twilight room per y hours is
`240y` dollars.

Since, the maximum cost for reserving the rooms is $2000.

We get the inequality,

170x + 240y ≤ 2000.