Question

Variable will the value of the function be equal to −6; −3; 0? Answer: If the value of the function is equal to −6, the value of the independent variable is equal to . If the value of the function is equal to −3, the value of the independent variable is equal to . If the value of the function is equal to 0, the value of the independent variable is equal to .

Answer 1

Complete Question:

A function is expressed by the equation y = 0.3x − 6. For what value of the independent variable will the value of the function be equal to −6; −3; 0?

Answer:

If the value of the function is equal to −6, the value of the independent variable is equal to 0. If the value of the function is equal to −3, the value of the independent variable is equal to 10. If the value of the function is equal to 0, the value of the independent variable is equal to 20.

Explanation:

Given:

`y = 0.3x - 6`

Required:

Find x, if y = -6; -3; and 0.

SOLUTION:

x = the independent variable

y = dependent variable

To find x (independent variable), when the value of the function (y) is -6, substitute y = -6 into the equation of the function:

`y = 0.3x - 6`

`-6 = 0.3x - 6`

`-6 + 6 = 0.3x` (addition property of equality)

`0 = 0.3x`

`(0)/(0.3) = (0.3x)/(0.3)`

`0 = x`

`x = 0`

To find x (independent variable), when the value of the function (y) is -3, substitute y = -3 into the equation of the function:

`y = 0.3x - 6`

`-3 = 0.3x - 6`

`-3 + 6 = 0.3x` (addition property of equality)

`3 = 0.3x`

`(3)/(0.3) = (0.3x)/(0.3)`

`10 = x`

`x = 10`

To find x (independent variable), when the value of the function (y) is 0, substitute y = 0 into the equation of the function:

`y = 0.3x - 6`

`0 = 0.3x - 6`

`0 + 6 = 0.3x` (addition property of equality)

`6 = 0.3x`

`(6)/(0.3) = (0.3x)/(0.3)`

`20 = x`

`x = 20`