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:

`(d)/(m)=k`

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

`(d)/(m)=(5)/(20)=k\Rightarrow k=(5)/(5)\cdot(1)/(4)\Rightarrow k=(1)/(4)`

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

`(d)/(m)=(1)/(4)\Rightarrow m\cdot(d)/(m)=m\cdot(1)/(4)\Rightarrow d=(m)/(4)`

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

`d=(m)/(4)`