how to solve this

Question

a study found that a student's GPA, g, is related to the number of hours worked each week, h, by the equation g=-0.0006x2+0.015x+3.04.estimate and interpret the number of hours worked each week for a student with a GPA of 2.97. Round to the nearest whole hour

Answer 1

Set g(x) = 2.97 and solve for x.

 

-0.0006x² + 0.015x + 3.04 = 2.97

 

-0.0006x² + 0.015x + 0.07 = 0

 

Solve this quadratic equation for x using the quadratic formula.  You should get a negative and a positive solution.  The answer is the positive solution.