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Question

Use an inequality and the five-step process to solve each problem.
An unconditional acceptance into the Master of Business Administration (MBA) program at Arkansas State University will be given to students whose GMAT score plus 200200 times the undergraduate grade point average is at least 950950. Robbin's GMAT score was 500500. What must her grade point average be in order to be unconditionally accepted into the program?

Solution

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Familiarize\textbf{\textcolor{#4257b2}{Familiarize}}

We are looking for a number\textbf{a number} which when multiplied by 200200 and added to 500500 gives at least 950950. We can denote the number as x\textcolor{#c34632}{x}

Translate\textbf{\textcolor{#4257b2}{Translate}}

500+x200950500+\boxed{\textcolor{#c34632}{x}}\cdot200\geq950

Carry out\textbf{\textcolor{#4257b2}{Carry out}}

500+200x950200x950500200x450x450200x2.25\begin{align*} 500+200x&\geq950\\ 200x&\geq950-500 \tag{\textcolor{#4257b2}{Addition principle.}}\\ 200x&\geq450\\ x&\geq\frac{450}{200} \tag{\textcolor{#4257b2}{Multiplication principle.}}\\ x&\geq\boxed{\textcolor{#c34632}{2.25}} \end{align*}

Check\textbf{\textcolor{#4257b2}{Check}}

32.25500+3200?9501100950\begin{align*} 3&\geq2.25\\ 500+\boxed{\textcolor{#c34632}{3}}\cdot200&\stackrel{?}{\geq}950\\ 1100&\geq950 \end{align*}

State\textbf{\textcolor{#4257b2}{State}}

The number\textbf{The number} is 2.25\boxed{\textcolor{#c34632}{2.25}}.

Her grade point average should be at least 2.25\boxed{\textcolor{#c34632}{2.25}}.

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