Question

1. find the horizontal asymptote for $y = \frac{5x}{x + 6}$

options:
$y = -6$
none
$y = 0$
$y = 5$

Explanation:

Step1: Identify degrees of numerator and denominator

The numerator \(5x\) has degree 1, denominator \(x+6\) has degree 1.

Step2: Take ratio of leading coefficients

Leading coefficient of numerator is 5, denominator is 1. Ratio: \(5/1=5\)

Step3: Determine horizontal asymptote

Since degrees are equal, asymptote is \(y=5\)

Answer:

y=5