# Sample quiz on linear relation word problems Main home here.

1. The cost of renting a hall is $\$300$plus$\$50$ per person. If the cost is represented by $C$ and the number of people by $p$, an equation that models this scenario is $\cdots$?
$p=300+50C$
$C=300-50p$
$C=300+50p$
$p=300-50C$
2. A hall can accommodate a maximum of $100$ persons. The cost of renting the hall is $\$350$plus an additional$\$45$ per person. What is the maximum amount the hall management can make any time they rent the hall?
$\$4850\$4800$
$\$4750\$4700$
3. If a physical situation is modelled by the equation $C=-2h+35$, the significance of the $-2$ in this equation is $\cdots$?
$C$ increases by $2$ whenever $h$ increases by $1$
$C$ increases by $2$ whenever $h$ increases by $2$
$C$ decreases by $2$ whenever $h$ increases by $2$
$C$ decreases by $2$ for every unit increase in $h$
4. A cellphone company charges a monthly fee of $\$25$plus an additional$\$2$ per hour of international call. With a budget of $\$53$, how many hours of international call can a client make in a given month?$28145326.5$5. Cellphone company A charges$\$30$ per month plus an additional cost of $\$0.02$for every minute of local call. Cellphone company B charges$\$25$ per month plus an additional cost of $\$0.025$for every minute of local call. After how many minutes will their charges be equal?$1101001000$6. A certain worker's weekly wage is given by$W=20h$, where$h$is the number of hours worked each week and$W$is the wage. A possible interpretation of the$20$in this equation is that$\cdots$the worker is paid$\$20$ every hour
the worker works for $20$ hours each week
the worker is paid $\$20$every week the worker gets$\$20$ per day.
7. A marketer gets a fixed salary of $\$2500$. There is an additional pay of$\$12$ for every person the marketer convinces to buy a product. How many people does the marketer need to convince in order to earn $\$2800$in a given month?$32302524$8. Consider the equation$d=-2t+10$. A physical situation modelled by this equation could be$\cdots$? a person walks at$10$km/h and is moving away from a place$2$km away a person walks at$10$km/h and is moving towards a place$2$km away a person walks at$2$km/h and is moving away from a place$10$km away a person walks at$2$km/h and is moving towards a place$10$km away. 9. A person runs towards a building that is$5$km away. The person's speed is$1.5$km/h. At any hour$t$, let the person's distance from the building be$d$. Then$\cdotsd=5-1.5td=5+1.5t5t-1.55t+1.5$10. Two tutoring companies -- Prolific Tutors and Pacific Tutors -- charge$C=150+20h$and$C=120+25h$, respectively.$h$is the number of hours of tutoring a student receives. After how many hours will their charges be equal?$5$hours$6$hours$24$hours$25\$ hours