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

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.\na = 4.0 c = 2.0\nb+ = 3.5 d+ = 1.5\nb = 3.0 d = 1.0\nc+ = 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|----|----|----|\n|business calculus|b+|1|\n|biology|d|4|\n|library research|d+|1|\n|american literature|b|1|\nthe gpa for these grades is □.

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.\na = 4.0 c = 2.0\nb+ = 3.5 d+ = 1.5\nb = 3.0 d = 1.0\nc+ = 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|----|----|----|\n|business calculus|b+|1|\n|biology|d|4|\n|library research|d+|1|\n|american literature|b|1|\nthe gpa for these grades is □.

Answer

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:

$1.71$