Question

I will give brainlist to the most helpful answer to my question

Answer 1

Answer:

See below

Step-by-step explanation:

Both horses travel 0 miles in 0 minutes. We can see this on the graph where both lines start at the 0 in the bottom left corner. For the purpose of writing the equations this also shows us that the y-intercept is 0. In a slope-intercept equation, y=mx+b, that number is the b. b is zero in both equations, so we don't need to write anything for that.

For horse A, we can see on the graph that at 4 minutes, horse A has traveled 1 mile. Also, confirming this rate, at 8 minutes, it went 2 miles. This will help us find the rate. The rate will be the number we fill in for the m in the y=mx+b equation. Horse A goes 1mile every 4 minutes. That is a rate of 1/4 miles per minute. So Horse A's equation will be

y = (1/4)x You can make it more *intuitive* possibly by using m for miles and t for time instead, like this:

m = (1/4)t

Horse B is a little bit faster, and you can see this bc the line is a little bit steeper. It goes 2 miles in 5 minutes (confirm you can see it goes 4 miles in 10 minutes)

So Horse B's equation is

y = (2/5)x

or miles = (2/5)time

Mathematically, the equations are the same whether you use x,y or m,t

If Horse A runs for 12 minutes then it will run

miles = (1/4)minutes

miles = (1/4)(12)

miles = 3

If Horse B runs for 12 minutes, then it will run

miles = (2/5)minutes

miles = (2/5)12

miles = 4.8