Which equation represents the table? X|-1|0|1|. Y|15|18|21|. A. y=18x+3. B. y=-3x+8. C. y=-3x+18. D. y=1/3x+18.

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.

the answer is 31.27mph