Question

Find the constant of proportionality and the unit rate for the data in the table. Then write an equation to represent the relationship between time t and distance d.

Answer 1

I think that the proportionality constant or unit rate \(r\), is given by the common value of the subsequent ratios:
\[\Large r = \frac{{90}}{2} = \frac{{135}}{3} = \frac{{225}}{5} = \frac{{270}}{6} = ...?\]

Answer 2

45

Answer 3

that's right!

Answer 4

since every time I have divided the distance by the corresponding time, then for a generic distance \(d\) and for a generic time \(t\), we can write this:
\[\huge \frac{d}{t} = 45\]

Answer 5

Thank you! That's the full answer right?

Answer 6

yes!