Question

directions: look at the two report cards below. calculate both students gpas to determine if anna or darrion has a higher gpa. use the gpa scale table below to the right to help you answer questions 1 - 3.
skyrise high school
anna johnson
semester 1
algebra ii a
english ii a
world history a
art i b-
biology i b
team sports a
newspaper a
total
cityview high school
darrion maher
semester 1
yearbook a
choir a
geography a
algebra ii a
chemistry a-
english ii a
lifetime sports c+
total

1. according to your calculations, what is annas gpa? ________
2. according to your calculations, what is darrions gpa? ________
3. using your answers to the first two questions, imagine anna and darrion both went to the same high school and were the only two students there. if this were the case, what is each of their class ranks?

annas class rank: ________
darrions class rank: ________
letter grade percent grade 4.0 scale
a+ 97 - 100 4.0
a 93 - 96 4.0
a- 90 - 92 3.7
b+ 87 - 89 3.3
b 83 - 86 3.0
b- 80 - 82 2.7
c+ 77 - 79 2.3
c 73 - 76 2.0
c- 70 - 72 1.7
d+ 67 - 69 1.3
d 65 - 66 1.0
e/f below 65 0.0

Explanation:

Step1: Calculate Anna's GPA

Anna has 5 A's (worth 4.0 each) and 1 B - (worth 2.7) and 1 B (worth 3.0). The sum of her grade - points is \(5\times4.0+2.7 + 3.0=20 + 2.7+3.0 = 25.7\). She has 7 courses. So her GPA is \(\frac{25.7}{7}\approx3.67\).

Step2: Calculate Darrion's GPA

Darrion has 5 A's (worth 4.0 each), 1 A - (worth 3.7) and 1 C+ (worth 2.3). The sum of his grade - points is \(5\times4.0+3.7 + 2.3=20+3.7 + 2.3=26\). He has 7 courses. So his GPA is \(\frac{26}{7}\approx3.71\).

Step3: Determine class ranks

Since Darrion has a higher GPA than Anna, Darrion is ranked 1st and Anna is ranked 2nd.

Answer:

1. \(3.67\)
2. \(3.71\)
3. Anna's Class Rank: 2nd

Darrion's Class Rank: 1st