Question

A student has a GPA of 2.25 after accumulating 20 credit hours. If she is enrolled in 17 additional credit hours and desires a 2.9 GPA after those additional courses, what minimum GPA in those additional hours would she need to earn? It's OK if you end up with a crazy number like something greater than a 4.0. That just means this student can't quite get there in that number of hours. You can come back to this question and correct your answer at any time before you submit the entire CW/IW module.

Answer 1

3.66

Explanation:

Having a 2.9 GPA means there was a certain quantity of points divided by a quantity of credit hours.

In this case 37 hours because of the 20 given to obtain 2.25 and 17 additional hours to get 2.9

So to know the points to get 2.9, we multiply 2.9 by the hours (37)

gpa=
`(points)/(hours)`

gpa*hours= points

`2.9*37= 107.3 points`

Now we need to find out how many points were given in 20 credit hours to get 2.25;

we do a similar calculation by multiplying 2.25 by the credit hours given to obtain that gpa.

gpa*hours=points

`2.25*20=45`

Then from 45 points to get 107.3 we need to know the difference

`107.3-45=62.3`

and because those points are needed in 17 additional credit hours, we make a division and we get

`gpa=(points)/(hours)`

`gpa=(62.3)/(17)=3.66`

So the student needs to make a 3.66 gpa minimum in order to improve her current 2.25 gpa to 2.9