Question

The table shows the distance traveled by a train in the given time. Find the constant of proportionality (unit rate) from the given table.

Distance (km)	$102$	$204$	$255$
Time (hr)	$2$	$4$	$5$

• A. $31km/hr$
• B. $51km/hr$
• C. $41km/hr$
• D. $61km/hr$

Answer 1

The correct option is B $51km/hr$

In the given table, we can see the distance traveled in a certain time period.
$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

From the table:

Distance (km)	TIme (hr)	Speed (hr)
$102$	$2$	$\frac{102}{2}=51$
$204$	$4$	$\frac{204}{4}=51$
$255$	$5$	$\frac{255}{5}=51$

The speed of the train is constant $\left(51km/hr\right)$ over time.
Hence, the constant of proportionality is $51$