Question

You have at most 8 hours to spend at a beach and at a planetarium. You want to spend more than 2 hours at the beach and at least 2 hours at the planetarium. Let x be the number of hours at the beach and let y be the number of hours at the planetarium. Which system represents the situation

Answer 1

x > 2

y ≥ 2

x + y ≤ 8

Explanation:

Here, we want to write a system of equations according to the given variables

More than means, greater than

since x is the variable we want to use;

x > 2

At least 2 hours means greater than or equal to 2

That is mathematically represented as;

y ≥ 2

At most means less than or equal to

So;

x + y ≤ 8