1. If $y$ varies directly with $x$, and $y=56$ when $x=8$, what is the constant of variation, $k$?
2. Suppose $p$ varies directly with $q$. If $p=30$ when $q=5$, what is the value of $p$ when $q=8$?
3. The total earnings, $E$, in dollars, from a job vary directly with the number of hours, $h$, worked. If you earn 75 dollars for 5 hours of work, how much will you earn for 8 hours of work? ___ dollars
4. If $a$ varies directly with $b$ and the constant of variation is 4, which equation correctly represents this relationship?
5. If $m$ varies directly as $n$, and $m=64$ when $n=4$, find the equation that relates $m$ and $n$. The equation is $m = \text{\_\_\_}$.
6. To tile a 250-square-foot room, the number of tiles, $N$, and the area of one tile, $A$, are related. Does this relationship describe inverse variation?
7. In an election, a total of 4800 votes were cast for two candidates, Smith ($S$ votes) and Jones ($J$ votes). Does the relationship between $S$ and $J$ describe inverse variation?
8. Rachel spends one-third of her income, $I$, on rent, $R$. Does the relationship between $R$ and $I$ describe inverse variation?
9. If $y$ varies inversely with $x$ according to the formula $y = \frac{120}{x}$, what is the value of $y$ when $x=30$? $y = $ ___.
10. From a 2000-gallon tank, let $W$ be the water left and $L$ be the amount leaked. Does the relationship between $W$ and $L$ describe inverse variation?