at most colleges and universities, weighted means are used to compute students grade - point averages…

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.\n$a = 4.0$ $c = 2.0$\n$b+=3.5$ $d += 1.5$\n$b = 3.0$ $d = 1.0$\n$c+=2.5$ $f = 0.0$\ngrade - 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.\n|course|grade|number of credit - hours (weights)| \n|intermediate algebra|b|6|\n|theater|c|1|\n|music appreciation|d|2|\n|world history|d +|4|\nthe gpa for these grades is \n

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.\n$a = 4.0$ $c = 2.0$\n$b+=3.5$ $d += 1.5$\n$b = 3.0$ $d = 1.0$\n$c+=2.5$ $f = 0.0$\ngrade - 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.\n|course|grade|number of credit - hours (weights)| \n|intermediate algebra|b|6|\n|theater|c|1|\n|music appreciation|d|2|\n|world history|d +|4|\nthe gpa for these grades is \n

Answer

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:

$2.15$