# Sample quiz on partial variation Main home here.

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?$20191817$8. An equation for a partial variation is given by$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-1y=3x+0y=2x+1y=x+3\$