Question

Nick rides his bike at a constant rate. He is able to cover a distance (d) of 30 kilometers in 2 hours (t).Write an equation in the form of d = rt that represents the relationship between distance (d) and time (t), where r is the constant of proporionality. ______________

Answer 1

Nick rode his bike at a constant rate (r)

He covered a distance of d=30km

In a time of t=2hours

If d varies directrly with t as shown in the equation:

$d=rt$

Then you can calculate the constant of proportionality r as a ratio between the distance and the time:

$r=\frac{d}{t}$$\begin{gathered} r=\frac{30}{2} \\ r=15\frac{\operatorname{km}}{h} \end{gathered}$

This means that he covers 15 km every hour, the relationship`between the distance and time can be expressed as a liner equation:

$d=15t$