Max has scores of 70, 85, 69, and 74 on his algebra tests. Use an inequality to find the scores he must make on the final exam to pass the course with an average of 75 or higher, given that the final exam counts as two tests.

The equation for the x (-1,0,1) and y (15,18,21) is y=3x+18, which is mentioned option B, this equation represent all the table values.

Step-by-step explanation:

The given values are,

                  x ( -1,0,1 )

                  y ( 15,18,21 )

Step:1

        Check the values for Equation,

        Substitute x = -1 and y = 15

                            15 = ( 18  × -1 ) + 3

                             15 = ( - 18 +3 )

                            15 ≠ -15..........( option A not represent)

          Check for values for Equation,

           Substitute x =-1 and y = 15

                           15 = ( 3 × -1 ) +18

                          15 = 15.............( option B represent the values)

           Substitute next table values, x= 0 and y =18

                           18 = ( 3 × 0 ) + 18

                         18 = 18.............( option B represent the values)

          Substitute the next table values, x=1 and y = 21

                       21 = ( 3 × 1 ) + 18

                         21 = 21.............( option B represent the values)

         Check for the equation,

         Substitute the x=-1, y =15

                            15 = ( -3 × -1 ) + 18

                            15 ≠ 21..........( option C not represent)

         Substitute the next table values

          Check for the equation,

          Substitute the x=0, y=15

                                 15 = ( × -1 ) + 18

                                 15 ≠ 17.6667..........( option D not represent)

Result:

           The equation for the x (-1,0,1) and y (15,18,21) is y=3x+18, this equation represent all the table values.