Question

The equation and the tables represent two different functions. Use the equation b = 6a - 10 and the table to answer the questions. This table represents c as a function of a.

Answer 1

`A. \;\;b \;is \;greater`

`B.\;\;a = 1, b = -4`

`C.\;\;a = 6, c = 20`

Explanation:

Part A

We have the relationship

`b = 6a - 10`

When
`a` is
`-2`, the value of
`b` is

`b = 6(-2) -10 = -12 -10 = -22`

The corresponding value of
`c` for
`a = - 2` is -
`21`

`-21` is greater than
`-22` so answer is :
`b` is greater

Part B

When
`c` is
`6`, we see that the value of
`a` from the table is
`1`

The corresponding value of b is:

`b = 6(1) - 10 = 6 - 10 = -4`

Part C

When
`b = 26`, plugging this into the equation
`b = 6a - 10` we get

`26 = 6a - 10\\\\26 + 10 = 6a\\\\36 = 6a\\\\`

or

`6a = 36` giving
`a = 36/6 = 6`

For
`a = 6`, from the table we see that the corresponding value of
`c = 20`(ANS)