# Sample quiz on direct variation Main home here.

1. A situation where the dependent variable varies directly with the independent variable is known as
direct variation
inverse variation
partial variation
joint variation
2. The equation of a direct variation can be given by $y=mx$, where $y$ is the dependent variable and $x$ is the indepent variable. What does $m$ represent?
the constant of variation
the $y$-intercept of the graph
the $x$-intercept of the graph
the value of $y$ when $x=0$.
3. The graph of a direct variation always passes through the point $\cdots$
$(0,2)$
$(0,1)$
$(1,0)$
$(0,0)$
4. The distance a car travels varies directly with the time. A car travels $300$ km in $4$ hours. Determine the constant of the variation.
$75$ hr/km
$75$ km/hr
$7.5$ km/hr
$304$ km/hr
5. A variation expression $y\propto x$ means that $\cdots$
$y$ varies inversely as $x$
$y$ varies directly as $x$
$y$ is $1$ when $x$ is $1$
$y$ is $0$ when $x$ is $1$
6. A man's weekly pay ($P$) varies directly with the number of hours worked ($h$). In a certain week, the man made $\$700$after working for$35$hours. The relationship between$P$and$h$is$\cdotsP=20hh=20PP=2hP=700h$7. The distance ($d$) a car travels varies directly with the time ($t$). If a car travels$450$km in$5$hours, write an equation connecting$d$and$t$.$d=90+tt=90dd=90tt=90+d$8. The number of words$(w)$a typist types varies directly with the time$(t)$. In$20$minutes, the typist typed$900$words. An equation connecting$w$and$t$is$\cdots$?$t=45+ww=45+tt=45ww=45t$9. A car travels$240$km in$3$hours. Assuming that distance traveled varies directly with time, what distance will the car travel in$5$hours?$400$km$400$m$240$m$80$km 10. The volume of water$(V)$leaking out from a tank varies directly with the time$(t)$. In$15$minutes,$0.1$L of water leaked out. An equation relating$V$and$t$is$\cdots$?$V=\frac{1}{15}tV=\frac{1}{150}tV=15tV=1.5t\$