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A class trip to a ski resort has been planned for your senior trip. The mountain only allows skiing when the temperature is between −10 degrees and 35 degrees. There is room for 38 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.

−10 < x < 35 and 0 < y ≤ 38
x < 35 and y > −10
0 < x ≤ 38 and −10 < y < 35
x > −10 and y < 35

Respuesta :

Lol4Lif3

−10 < x < 35 and 0 < y ≤ 38

The constraints are: −10 < x < 35 and 0 < y ≤ 38. so option A is correct.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given:

The range of temperature is between -10 and 35 degrees.

So, x lies between these two temperatures. x must be greater than -10 degrees but less than 35 degrees.

Therefore, −10 < x or x < 35

On combining these two inequalities we get,

−10 < x < 35

Now, a number of people that can come for the trip are 38.

Let y represents the number of people for the trip. So, y can be at most 38.

Or, y must be less than or equal to 38 and is given as:

0 < y ≤ 38

Hence, the constraints are: −10 < x < 35 and 0 < y ≤ 38. so option A is correct.

Learn more about equations here;

https://brainly.com/question/10413253

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