Use Mathematical Models Involving Linear Inequalities
-Benjamin Never Has More $x$

question 188

Multiple Choice

Use Mathematical Models Involving Linear Inequalities
-Benjamin never has more than 23 hours free during the week. He is trying to make a weekly plan for dividing his free time between reading and working out. He wants to spend at least 8 hours per week reading. Write a system of inequalities to describe the situation. Let $x$ represent the number of hours for reading and $y$ represent the number of hours for working out.

• A) \(x + y \leq 23\)
• \(x \geq 8\)
• \(y \geq 0\)
• B) \(x + y \leq 23\)
• \(x \geq 8 y\)
• \(x \geq 0\)
• \(y \geq 0\)
• C) \(x + y \leq 23\)
• \(y \geq 8\)
• \(x \geq 0\)
• D) \(x + y \leq 23\)
• \(x \leq 8 y\)
• \(x \geq 0\)
• \(y \geq 0\)

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Definitions:

Evaluate

To calculate the numerical value of an expression, equation, or function when certain values are known or substituted for variables.

Simplify

To reduce a mathematical expression to its simplest form by performing operations and combining like terms.

Evaluate

The process of calculating the value of an expression.

Simplify

To simplify an expression means to reduce it to its simplest form, by performing all possible operations and combining like terms.