Question

The speed of a car remains constant at 60 miles per hour. Which of the following ordered pairs correctly indicate the distance traveled by the car over a given time interval?

• A. $(120,2),(90,1.5),(60,1.5),(30,0.25)$
• B. $(100,2),(75,1.5),(50,1),(25,0.5)$
• C. $(120,2),(90,1.5),(60,1),(30,0.5)$
• D. $(100,2),(75,1.5),(50,1),(25,0.25)$

Answer 1

The correct option is C $(120,2),(90,1.5),(60,1),(30,0.5)$

We know, $\text{speed}=\frac{\text{distance}}{\text{time}}$
$\Rightarrow \text{Time}=\frac{\text{distance}}{\text{speed}}$
$\Rightarrow \text{Time}=\frac{\text{distance}}{\text{60 mi per h}}$

Time required to travel $60mi=\frac{60}{60}=1h$
Similarly, the time required to travel $30mi=\frac{30}{60}=0.5h$

We can generate a table showing the distance traveled and the time taken.

Distance (mi)	Time (h)
120	2
90	1.5
60	1
30	0.5

The ordered pairs are $(120,2),(90,1.5),(60,1)$, and $(30,0.5).$
Hence, the correct answer is option a.