An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075. ​Robbin's GMAT score was 800. What must her grade point average be in order to be unconditionally accepted into the​ program?
​Robbin's grade point average must be at least ___ in order to be unconditionally accepted into the program.

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Answer:

​Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.

Step-by-step explanation:

An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075.

This means that:

[tex]x + 100y \geq 1075[/tex]

In which x is the GMAT score and y is the GPA.

Robbin's GMAT score was 800.

This means that [tex]x = 800[/tex]

What must her grade point average be in order to be unconditionally accepted into the​ program?

We have to solve the inequality for y. So

[tex]x + 100y \geq 1075[/tex]

[tex]800 + 100y \geq 1075[/tex]

[tex]100y \geq 275[/tex]

[tex]y \geq \frac{275}{100}[/tex]

[tex]y \geq 2.75[/tex]

​Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.

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