Sample quiz on direct variation
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  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 $\cdots$
    $P=20h$
    $h=20P$
    $P=2h$
    $P=700h$
  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 $t$.
    $d=90+t$
    $t=90d$
    $d=90t$
    $t=90+d$
  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 $\cdots$?
    $t=45+w$
    $w=45+t$
    $t=45w$
    $w=45t$
  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 $\cdots$?
    $V=\frac{1}{15}t$
    $V=\frac{1}{150}t$
    $V=15t$
    $V=1.5t$