Question

a cars distance traveled is monitored over time. the results are displayed in this table.

time (h)	1	2	3	4

what is the constant of proportionality of this proportional relationship?

enter your answer in the box.

Explanation:

Step1: Recall proportionality formula

For a proportional relationship between distance $d$ and time $t$, $d = kt$, where $k$ is the constant of proportionality. Rearranged, $k = \frac{d}{t}$.

Step2: Calculate k using first data pair

Use $t=1$ h, $d=55$ mi:
$k = \frac{55}{1} = 55$

Step3: Verify with other data pairs

For $t=2$ h, $d=110$ mi: $\frac{110}{2}=55$
For $t=3$ h, $d=165$ mi: $\frac{165}{3}=55$
For $t=4$ h, $d=220$ mi: $\frac{220}{4}=55$

Answer:

55