Question

The graph shows the cost of renting cars from a car rental company. Which of the given statements about the graph is true?

• A. The y-coordinate of $(2.5,57.5)$ represents the time for which the car can be rented for $\$57.5$.
• B. The cost of renting a car for ${\frac{1}{25}}^{th}$ of a day is $\$1$.
• C. The total cost for renting a car for a day is $\$25$.
• D. For $\$1$, a car can be rented for ${\frac{1}{23}}^{rd}$ of a day.

Answer 1

The correct option is D For $\$1$, a car can be rented for ${\frac{1}{23}}^{rd}$ of a day.


$x_1=0,y_1=0;x_2=2.5,y_2=57.5$
Unit rate $=\frac{\text{Rise}}{\text{Run}}=\frac{y_2-y_1}{x_2-x_1}=\frac{57.5-0}{2.5-0}=\frac{57.5}{2.5}=\frac{575}{25}=\$23/$day
The total cost for renting a car for a day $=\$23$
Option A is false.

The y-coordinate of $(2.5,57.5)$ represents the cost of renting a car for $2.5$ days.
Option B is false.

For $\$23$, a car can be rented for a day.
For $\$1$, a car can be rented for ${\frac{1}{23}}^{rd}$ of a day.
Option C is true and option D is false.