in order for the data in the table to represent a linear function with a rate of change of -8, what must be…

in order for the data in the table to represent a linear function with a rate of change of -8, what must be the value of a?\no a = 2\no a = 3\no a = 19\no a = 35

in order for the data in the table to represent a linear function with a rate of change of -8, what must be the value of a?\no a = 2\no a = 3\no a = 19\no a = 35

Answer

Explanation:

Step1: Calculate change in y from x=10 to x=11

The rate of change is -8, so ( \Delta y = -8 \times (11 - 10) = -8 )

Step2: Find value of a using initial y-value

( a = 27 + \Delta y = 27 - 8 = 19 )

Answer:

a = 19