A college admissions office employs the formula to forecast the GPA of prospective students:
z = 0.003x + 0.8y − 4,
with z representing the predicted GPA on a scale of 0 to 4.3, x being the combined student's SAT Math and Verbal scores scaling from 400 to 1600, and y as the student's high school GPA on a 0 to 4.3 scale. The college accepts applicants whose predicted GPA meets or exceeds 2.3.
In the case of a student with SATs of 1050 and a high school GPA of 3.0, will they be granted admission?
Answer:
A. No, since Z = 1.55, which falls short of the 2.3 minimum GPA required for acceptance.
Step-by-step reasoning:
Z = 0.003x + 0.8y - 4
X = SAT score
Y = high school GPA
Z = predicted college GPA
X = 1050
Y = 3.0
Z =.003 *(1050) + 0.8*(3.0) -4
Z = 1.55, which is below the required admission GPA of 2.3.
