Question

Bianca can run 5 miles in 41 minutes. Assuming she runs at a constant rate, write the linear equation that represents the situation.

Answer 1

y=5/41x

Explanation:

Alright, so we can get imagine two points. Imagine that the y axis is miles and the x axis is minutes. When bianca runs 0 miles, she would have run for 0 minutes, and we know that when Bianca runs 5 miles, she would have run for 41 minutes.

We can use slope formula using the change in y over change in x

`(y1 -y2)/(x1-x2)\\`

So substituting values, we would get (5-0)/(41-0) or 5/41

slope is the letter m in the formula y=mx+b

so our equation would be
`y=(5)/(41)x+b`, b being the y intercept, which would be 0 as you cant run anything when no time has passed

Knowing all of this. the final equation is

`y=(5)/(41)x`