A college admissions office uses the following linear equation to predict the grade point average of an incoming student: x = 0.003x + 0.8y − 4 where z is the predicted college GPA on a scale of 0 to 4.3, and x is the student's total SAT score on a scale of 400 to 1600, and y is the student's high school GPA on a scale of 0 to 4.3. The college admits students whose predicted GPA is at least 2.3.

A college admissions office uses the following equation to predict the grade point average of an incoming student:

z = 0.003x + 0.8y − 4,

where z is the predicted college GPA on a scale of 0 to 4.3, and x is the sum of the student’s SAT Math and SAT Verbal on a scale of 400 to 1600, and y is the student’s high school GPA on a scale of 0 to 4.3. The college admits students whose predicted GPA is at least 2.3.

Will a student with SATs of 1050 and high school GPA of 3.0 be admitted

A. No because Z = 1.55 which is less than the required predicted college gpa of 2.3 for admission.

Step-by-step explanation:

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 less than the required predicted college gpa of 2.3 for admission

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions