Aclass 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.

Step-by-step explanation:

Given:

Range of temperature is between 70 and 105 degrees.

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

Therefore, . On combining these two inequalities we get,

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

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

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

Hence, the constraints are:

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice