Question

A class trip to a beach has been planned for your senior trip. The lifeguard is only on duty when the temperature is between 70 degrees and 105 degrees. There is room for 60 people on your trip. Write the constraints to represent this real-world problem, where x is the temperature and y is the number of people on your trip.

Answer 1

This is the answer:

70 < x < 105 and 0 < y ≤ 60

:)

Explanation:

It is option D to explain! :D

Answer 2

`70<x< 105\\y\leq 60`

Explanation:

Given:

Range of temperature is between 70 and 105 degrees.

So,
`x` lies between these two temperatures.
`x` must be greater than 70 degrees but less than 105 degrees.

Therefore,
`x>70\textrm{ and }x<105`. On combining these two inequalities we get,

`70<x< 105`

Now, number of people that can come for the trip is 60.

`y` represents the number of people for the trip. So,
`y` can be at most 60.

Or,
`y` must be less than or equal to 60 and is given as:

`y\leq 60`

Hence, the constraints are:

`70<x< 105\\y\leq 60`