Question

3
select the correct answer.
rewrite the following equation as a function of x.
680x + 10y - 1000 = 0
a. f(x) = 100 + 68x
b. f(x) = \frac{1}{100} + \frac{1}{68}x
c. f(x) = 100 - 68x
d. f(x) = \frac{1}{100} - \frac{1}{68}x

Explanation:

Step1: Isolate the term with y

Start with the equation \( 680x + 10y - 1000 = 0 \). Add 1000 to both sides and subtract \( 680x \) from both sides to get \( 10y = 1000 - 680x \).

Step2: Solve for y

Divide every term by 10: \( y=\frac{1000}{10}-\frac{680x}{10} \). Simplify the fractions: \( y = 100 - 68x \). Since we need to write it as a function of \( x \), we use \( f(x) \) instead of \( y \), so \( f(x)=100 - 68x \).

Answer:

C. \( f(x) = 100 - 68x \)