Question

Joe Smith has a 0.50 GPA after attempting 36 credit-hours. Joe comes to the realization that college is important and wants a 2.0 GPA. Joe hopes to accomplish this by earning all As moving forward. How many additional credit hours must be taken for Joe to reach his goal?

Answer 1

To calculate the GPA score, you have to follow these steps:

1. Calculate the point value of the letter grade by the number of credit hours for the course, the result will be the quality points (qp) per course.

2. Add the quality points for each to determine the total quality points (QP)

3. Add the credit hours of each course to determine the total credit hours (CH)

4. The GPA score is equal to the quotient between the total quality points and the total credit hours.

`\text{GPA}=(QP)/(CH)`

You know that Joe has a GPA score of 0.5 with 36 credit hours, and you need to determine the number of credit hours needed for a GPA of 2.0, assuming he will obtain A in all his future courses.

First, let's determine his total quality points (QP) so far:

`\begin{gathered} \text{GPA}=(QP)/(CH) \\ 0.5=(QP)/(36) \\ 0.5\cdot36=QP \\ 18=QP \end{gathered}`

So far he has a total of 18 quality points.

Next, the point value for grade A is 4, if "x" represents the number of additional credit hours he must take, then the quality points for these extra courses can be calculated as follows:

`\begin{gathered} qp=\text{score}\cdot\text{hours} \\ qp=4x \end{gathered}`

Add this value to the quality points he has earned so far to determine the tota