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

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

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 (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.