Question

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. ​

Answer 1

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

Considering the GMAT score x, and the GPA y, this situation is modeled by the following inequality:

$x + 100y \geq 1075$

Robbin's GMAT score was 800.

This means that $x = 800$, and thus:

$x + 100y \geq 1075$

$800 + 100y \geq 1075$

$100y \geq 275$

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

Solving the above inequality for y:

$100y \geq 275$

$y \geq \frac{275}{100}$

$y \geq 2.75$

Thus:

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