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.

x > 70 and y 70
70 < x < 105 and 0 < y ≤ 60

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Answer:

70 < x < 105 and 0 < y ≤ 60

Step-by-step explanation:

The constraints that represent this real-world problem are; 70 < x < 105 and 0 < y ≤ 60 where x is the temperature and y is the number of people on your trip.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Given:

The Range of temperature is between 70 and 105 degrees.

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

Therefore, x > 70and 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 ≤ 60 must be less than or equal to 60 and is given as:

Hence, the constraints are:

70 < x < 105 and 0 < y ≤ 60

The constraints that represent this real-world problem are; 70 < x < 105 and 0 < y ≤ 60 where x is the temperature and y is the number of people on your trip.

Learn more about inequality ;

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