Objective #5: Solve equations involving absolute value. Solved Problem #5 Pencil Problem #5 5. Solve: 2x-1 =5 5. Solve: |x - 2 =7 Rewrite without absolute value bars. Ju = c means u = c or u =-c. 2x-1=5 or 2x-1=-5 2x = 6 2x = -4 x =3 x =-2 The solution set is {-2,3}. Objective #6: Solve problems modeled by equations. Solved Problem #6 Pencil Problem #6 6. The formula H =-2.3VI +67.6 models weekly television viewing time, H. in hours, by annual 6. The formula t =- 2 models a basketball player's income, 1, in thousands of dollars. What annual hang time, t, in seconds, in terms of the vertical income corresponds to 33.1 hours per week distance, d, in feet. If the hang time is 1.16 seconds, watching TV? what is the vertical distance of the jump, to the nearest tenth of a foot? Substitute 33.1 for H and solve for I. 33.1=-2.3VI+67.6 -34.5=-2.3VI 15 = VI (15) 2 = ( VI) 2 225 = 1 An annual income of $225,000 corresponds to 33.1 hours per week watching TV