Astudy found that a student's gpa, g, is related to the number of hours worked each week, h, by the equation g= −0.0006h^2 +0.016h +3.02 estimate the number of hours worked each week for a student with a gpa of 2.23

The number of hours worked each week for a student with a GPA of 2.23 is 50 hours.      

Step-by-step explanation:

Given : A study found that a student's GPA, g, is related to the number of hours worked each week, h, by the equation  

To find : Estimate the number of hours worked each week for a student with a GPA of 2.23 ?

Solution :

The equation representing situation is

Now, Substitute g=2.23

Solve,

Multiply both side by 10000,

Apply quadratic formula,

Reject h=-22.8

Approximately the value of h is 50.

Therefore, The number of hours worked each week for a student with a GPA of 2.23 is 50 hours.

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4