Question

find the constant of proportionality.
goat
distance traveled (ft) | elapsed time (sec)
0 | 0
6 × □/□ | 2
12 × □/□ | 4
18 × □/□ | 6

Explanation:

Step1: Define proportionality

Let distance \(d\) and time \(t\) be proportional: \(d = kt\), \(k\) is constant.

Step2: Calculate \(k\) using first pair

Substitute \(d=6\), \(t=2\): \(k = \frac{6}{2} = 3\).

Step3: Verify with second pair

Substitute \(d=12\), \(t=4\): \(k = \frac{12}{4} = 3\).

Step4: Verify with third pair

Substitute \(d=18\), \(t=6\): \(k = \frac{18}{6} = 3\).

Answer:

3