Question

The graph shows a proportional relationship. A graph with a line running through coordinates (0,0) and coordinates (8,14) What is the unit rate?

Answer 1

Alright, so for this problem...

We first need to identify what a unit rate is. The unit rate describes the relationship between an amount and what unit it can be associated with. For example, 2 feet per second, where the amount is two and the unit is seconds. In the sense of this problem, we can make up something, such as 14 feet for every 8 seconds.

If I understand your question correctly, you need to find how many feet you'll gain in 1 second. This is accomplished by solving for the ratio of feet to second:

$14/8=1.75$

This means that there's a 1:1.75 ratio of seconds to feet. You can check this by multiplying the number of seconds by 1.75 to get the number of feet:

$8*1.75=14$

Now all that's left is to plug our value of 1 second where we placed 8 seconds, and we will have our answer.

$1*1.75=1.75$

For every one second, 1.75 feet is travelled. 

You could also accomplish this/check your work further by graphing this problem. I've attached a graph for you to reference. 

Hope this helped you out! Feel free to ask me any additional questions if you have any. :-)