Question

Rewrite the following equation as a function of x. 1/9x + 1/98y - 16 = 0

Option 1: f(x) = 3,168 - 1/9x
Option 2: f(x) = 3,168 - 22x
Option 3: f(x) = -3,168 + 1/9x
Option 4: f(x) = -3,168 + 22x

Answer 1

To rewrite the equation 1/9x + 1/98y - 16 = 0 as a function of x, isolate x by moving terms containing y to the other side. The final equation is f(x) = (14112 - 9y) / 98.

Step-by-step explanation:

To rewrite the equation 1/9x + 1/98y - 16 = 0 as a function of x, we need to isolate x on one side of the equation. First, let's move the terms that contain y to the other side of the equation:

1/9x = 16 - 1/98y

To eliminate the fraction, we can multiply both sides of the equation by the least common multiple (LCM) of 9 and 98, which is 882. This will give us:

882 * (1/9x) = 882 * (16 - 1/98y)

98x = 14112 - 9y

Now we can divide both sides of the equation by 98 to solve for x:

x = (14112 - 9y) / 98

So the equation rewritten as a function of x is: f(x) = (14112 - 9y) / 98