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)
biology	d	4
library research	d+	1
american literature	b	1

the gpa for these grades is □.

Explanation:

Step1: Determine grade - point values

Business Calculus ($B +$) has a grade - point value of $3.5$, Biology ($D$) has a value of $1.0$, Library Research ($D +$) has a value of $1.5$, and American Literature ($B$) has a value of $3.0$.

Step2: Calculate the numerator of the weighted - mean formula

Multiply each grade - point value by its corresponding credit - hours and sum them up.
For Business Calculus: $3.5\times1 = 3.5$
For Biology: $1.0\times4=4.0$
For Library Research: $1.5\times1 = 1.5$
For American Literature: $3.0\times1=3.0$
The sum of the products is $3.5 + 4.0+1.5 + 3.0=12.0$

Step3: Calculate the denominator of the weighted - mean formula

Sum up the credit - hours. $1 + 4+1 + 1=7$

Step4: Compute the GPA

The GPA is the numerator divided by the denominator. So, $GPA=\frac{12.0}{7}\approx1.71$

Answer:

$1.71$