PLEASE ANSWER A car traveled s kilometers in 6 hours with a speed of v kilometers per hour. Express the dependence of s on v. Using the formula, find: v for s=363

In this question, the relations between velocity, distance and time are explored to first express the dependence of s on v, given the data in the exercise, and then to find the value of v for which s = 363.

Relation between velocity, distance, and time:

We have that velocity is distance divided by time, that is:

In which v is the velocity, d is the distance, and t is the time.

A car traveled s kilometers in 6 hours with a speed of v kilometers per hour.

This means that

Express the dependence of s on v.

Taking the above values of d and t, and the formula, we have that:

Thus, the dependence of s on v can be expressed as:

Using the formula, find: v for s=363

We have that:

And thus

Considering :

Thus, for s = 363, v = 60.5.

For an example of a problem using this formula, you can check here:

y= -2x+4, have a great day

the answer on e2020 was d.