1. **State the problem:** Illustrate a real-life example showing inverse variation. A common example is the relationship between the speed of a car and the travel time for a fixed distance. If you drive faster (speed, $v$), the travel time ($t$) decreases such that $v \times t = \text{constant}$. 2. **Find the constant of variation $k$ for $y$ inversely varying as $x$ ($y=\frac{k}{x}$),** given $y=12$ when $x=9$: $$k = y \times x = 12 \times 9 = 108$$ 3. **Find constant $k$ for $m$ inversely varying as $n$ ($m=\frac{k}{n}$) with $m=7$ when $n=9$:** $$k = m \times n = 7 \times 9 = 63$$ 4. **Find $y$ when $y$ varies inversely as $x$, given $y=4$ when $x=13$, find $y$ for $x=10$:** Calculate $k = 4 \times 13 = 52$, then $$y = \frac{k}{x} = \frac{52}{10} = 5.2$$ 5. **Find $g$ when $g$ varies inversely as $h$, given $g=18$ when $h=2$, find $g$ for $h=6$:** Calculate $k = 18 \times 2 = 36$, then $$g = \frac{k}{h} = \frac{36}{6} = 6$$ This set explains inverse variation with constants and solutions, demonstrating the process clearly.