Question

at most colleges and universities, weighted means are used to compute students grade - point averages (gpas). at one college, the grades $a - f$ are assigned numerical values as follows.
$a = 4.0$ $c = 2.0$
$b+=3.5$ $d += 1.5$
$b = 3.0$ $d = 1.0$
$c+=2.5$ $f = 0.0$
grade - point average is a weighted mean where the \weights\ for each grade are the number of credit - hours for that class. compute the gpa for the following grades. round to the nearest hundredth.

course	grade	number of credit - hours (weights)
intermediate algebra	b	6
theater	c	1
music appreciation	d	2
world history	d +	4

the gpa for these grades is

Explanation:

Step1: Identify grade - point values

From the given information, for $B$ it is $3.0$, for $C$ it is $2.0$, for $D$ it is $1.0$, and for $D +$ it is $1.5$.

Step2: Calculate the weighted - value for each course

For Intermediate Algebra (grade $B$, 6 credit - hours): $3.0\times6 = 18$.
For Theater (grade $C$, 1 credit - hour): $2.0\times1=2$.
For Music Appreciation (grade $D$, 2 credit - hours): $1.0\times2 = 2$.
For World History (grade $D +$, 4 credit - hours): $1.5\times4=6$.

Step3: Calculate the total weighted - value

$18 + 2+2 + 6=28$.

Step4: Calculate the total number of credit - hours

$6 + 1+2 + 4=13$.

Step5: Calculate the GPA

The GPA is the total weighted - value divided by the total number of credit - hours. So, $GPA=\frac{28}{13}\approx2.15$.

Answer:

$2.15$