Sample quiz on partial variation
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1. The equation of a partial variation can be given by $y=mx+b$, where $y$ and $x$ are the dependent and independent variables, respectively. Which of the following is true?
   
   $b=1$
   $b=0$
   $b\neq 0$
   $b=-1$
   
2. The graph of a partial variation $y=mx+b\quad\cdots$
   
   doesn't pass through $(0,0)$
   always passes through $(0,0)$
   always passes through $(0,1)$
   always passes through $(1,0)$
3. A taxi driver charges $\$5$ plus $\$0.05$ per km. This is an example of a $\cdots$
   
   direct variation
   inverse variation
   positive variation
   partial variation
4. An electrician charges $\$45$ for a home visit. If repairs are needed, he charges $\$30$ per hour. Let $A$ be the amount the electrician makes and let $t$ be the time. An equation relating $A$ and $t$ is $\cdots$?
   
   $A=45t+30$
   $A=45+30t$
   $A=45-30t$
   $A=45(t+30)$
5. A telephone company charges a base fee of $\$20$ each month. There is an additional fee of $\$0.01$ per international text. In a certain month, Mr. Text sent $200$ international text messages. How much bill will he have to pay?
   
   $\$220$
   $\$22$
   $\$20$
   $\$2$
6. An affordable car rental company charges $\$30$ to rent a car, plus an additional $\$2$ for every kilometer the car travels. If the cost is represented by $C$ and the distance by $d$, find an equation connecting the two variables.
   
   $C=30+2d$
   $C=30(2+d)$
   $C=30-2d$
   $C=30d+2$
7. A tutoring company charges $\$50$ registration fee, plus an additional $\$25$ per hour of tutoring. A student has a budget of $\$500$. How many hours of tutoring can the student have?
   
   $20$
   $19$
   $18$
   $17$
8. An equation for a partial variation is given by $y=3x-5$. Which of the following points does not satisfy this equation?
   
   $(2,1)$
   $(0,-5)$
   $(1,-2)$
   $(1,2)$
9. An equation for a partial variation is given by $y=-2x+5$. Which of the following points satisfies this equation?
   
   $(2,1)$
   $(2,-1)$
   $(2,-9)$
   $(2,-7)$
10. Which of the following equations does not represent a partial variation?
    
    $y=4x-1$
    $y=3x+0$
    $y=2x+1$
    $y=x+3$