Question

a person walks 80 feet in 40 seconds. what equation represents this relationship. how many feet will the person walk in 10 seconds

Answer 1

20 feet

Explanation:

We can solve this two different ways:

The 1st and easiest way would be to first divide
`40/10` to get
`4`, and then divide
`80/4` to get
`20`.

This method works well in this situation because all the numbers are easily divisible, but in some situations this method may give you decimals which would make things more difficult.

In a situation like that, you would create a simple equation using this format:
`y=m(x)` in which
`y` represents the total number of feet walked,
`m` represents the number of seconds, and
`x` represents number of feet walked per minute.

You would start by finding out the number of feet walked per minute. You do this by plugging the information you know into the equation. We know that the person walks 80 feet in 40 seconds so the equation would look like this:
`80=40x`

To solve for
`x`, you would then divide 40 on both sides to get
`2=x`

Now that we know that the person walks 2 feet every second, we can plug the information into a new equation to find out how far they go in 10 seconds. This equation will look like this:
`y=10(2)` and we can solve it to learn that
`y=20`. This means that the person will walk 20 feet in 10 seconds.

Answer 2

20 feet

Explanation:

`(80 feet)/(40 seconds)` =
`(x feet)/(10 seconds)`

Simplify
`(80)/(40)`

`(80)/(40)` =
`(2)/(1)`

Every 1 second, a person will walk 2 feet.

`(x)/(10)` =
`(20)/(10)`

X = 20 feet