Question

You are riding your bike it takes you 20 minutes to go 5 miles where is the d in distance and m is the number of minutes write a proportional relationship between d and m where the equation is solved for d.

Answer 1

To answer this question, we have that:

1. It takes 20 minutes to go 5 miles.

2. We have that m is the number of minutes (20 minutes).

3. We have that d is the distance (d = 5 miles).

Then, if we have a proportional relationship between d and m, we can write - we can assume that this proportional relationship is constant:

$\frac{d}{m}=k$

If we have that d = 5 miles, and m = 20 minutes, then we have:

$\frac{d}{m}=\frac{5}{20}=k\Rightarrow k=\frac{5}{5}\cdot\frac{1}{4}\Rightarrow k=\frac{1}{4}$

Now, if the equation is solved for d, we will have:

$\frac{d}{m}=\frac{1}{4}\Rightarrow m\cdot\frac{d}{m}=m\cdot\frac{1}{4}\Rightarrow d=\frac{m}{4}$

In summary, therefore, a proportional relationship between d and m, where the equation is solved for d is:

$d=\frac{m}{4}$