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.

This means that:

$x + 100y \geq 1075$

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

Robbin's GMAT score was 800.

This means that $x = 800$

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

$x + 100y \geq 1075$

$800 + 100y \geq 1075$

$100y \geq 275$

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

$y \geq 2.75$

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